Download or read book Frontiers In Time Scales And Inequalities written by George A Anastassiou and published by World Scientific. This book was released on 2015-08-06 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph contains the author's work of the last four years in discrete and fractional analysis. It introduces the right delta and right nabla fractional calculus on time scales and continues with the right delta and right nabla discrete fractional calculus in the Caputo sense. Then, it shows representation formulae of functions on time scales and presents Ostrowski type inequalities, Landau type inequalities, Grüss type and comparison of means inequalities, all these over time scales. The volume continues with integral operator inequalities and their multivariate vectorial versions using convexity of functions, again all these over time scales. It follows the Grüss and Ostrowski type inequalities involving s-convexity of functions; and also examines the general case when several functions are involved. Then, it presents the general fractional Hermite-Hadamard type inequalities using m-convexity and (s, m)-convexity. Finally, it introduces the reduction method in fractional calculus and its connection to fractional Ostrowski type inequalities is studied.This book's results are expected to find applications in many areas of pure and applied mathematics, especially in difference equations and fractional differential equations. The chapters are self-contained and can be read independently, and advanced courses can be taught out of it. It is suitable for researchers, graduate students, seminars of the above subjects, and serves well as an invaluable resource for all science libraries.
Download or read book Stochastic Models with Applications to Genetics Cancers AIDS and Other Biomedical Systems second Edition written by W. Y. Tan and published by World Scientific. This book was released on 2015-10-28 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book presents a systematic treatment of Markov chains, diffusion processes and state space models, as well as alternative approaches to Markov chains through stochastic difference equations and stochastic differential equations. It illustrates how these processes and approaches are applied to many problems in genetics, carcinogenesis, AIDS epidemiology and other biomedical systems. One feature of the book is that it describes the basic MCMC (Markov chain and Monte Carlo) procedures and illustrates how to use the Gibbs sampling method and the multilevel Gibbs sampling method to solve many problems in genetics, carcinogenesis, AIDS and other biomedical systems. As another feature, the book develops many state space models for many genetic problems, carcinogenesis, AIDS epidemiology and HIV pathogenesis. It shows in detail how to use the multilevel Gibbs sampling method to estimate (or predict) simultaneously the state variables and the unknown parameters in cancer chemotherapy, carcinogenesis, AIDS epidemiology and HIV pathogenesis. As a matter of fact, this book is the first to develop several state space models for many genetic problems, carcinogenesis and other biomedical problems. To emphasize special applications to medical problems, in this new edition the book has added a new chapter to illustrate how to develop biologically-supported stochastic models and state space models of carcinogenesis in human beings. Specific examples include hidden Markov models and state space models for human colon cancer, human liver cancer and some human pediatric cancers such as retinoblastoma and hepatoblastoma. The book also gives examples to illustrate how to develop procedures to assess cancer risk of environmental agents through initiation-promotion protocols."--
Download or read book Introduction To Matrix Theory With Applications In Economics And Engineering Second Edition written by Ferenc Szidarovszky and published by World Scientific. This book was released on 2022-12-19 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear algebra and matrix theory are among the most important and most frequently applied branches of mathematics. They are especially important in solving engineering and economic models, where either the model is assumed linear, or the nonlinear model is approximated by a linear model, and the resulting linear model is examined.This book is mainly a textbook, that covers a one semester upper division course or a two semester lower division course on the subject.The second edition will be an extended and modernized version of the first edition. We added some new theoretical topics and some new applications from fields other than economics. We also added more difficult exercises at the end of each chapter which require deep understanding of the theoretical issues. We also modernized some proofs in the theoretical discussions which give better overview of the study material. In preparing the manuscript we also corrected the typos and errors, so the second edition will be a corrected, extended and modernized new version of the first edition.
Download or read book Discrete Approximation Theory written by George A Anastassiou and published by World Scientific. This book was released on 2016-09-29 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph, we present the authors' recent work of the last seven years in Approximation Theory. Chapters are self-contained and can be read independently and advanced courses can be taught out of this book. Here our generalized discrete singular operators are of the following types: Picard, Gauss-Weierstrass and Poisson-Cauchy operators. We treat both the unitary and non-unitary, univariate and multivariate cases of these operators, which are not necessarily positive operators. The book's results are expected to find applications in many areas of pure and applied mathematics, and statistics. As such, it is suitable for researchers, graduate students, and seminars of related subjects, and serves well as an invaluable resource for all science libraries.
Download or read book New Trends in Fractional Differential Equations with Real World Applications in Physics written by Jagdev Singh and published by Frontiers Media SA. This book was released on 2020-12-30 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This eBook is a collection of articles from a Frontiers Research Topic. Frontiers Research Topics are very popular trademarks of the Frontiers Journals Series: they are collections of at least ten articles, all centered on a particular subject. With their unique mix of varied contributions from Original Research to Review Articles, Frontiers Research Topics unify the most influential researchers, the latest key findings and historical advances in a hot research area! Find out more on how to host your own Frontiers Research Topic or contribute to one as an author by contacting the Frontiers Editorial Office: frontiersin.org/about/contact.
Download or read book Frontiers in Functional Equations and Analytic Inequalities written by George A. Anastassiou and published by Springer Nature. This book was released on 2019-11-23 with total page 746 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents cutting edge research from the frontiers of functional equations and analytic inequalities active fields. It covers the subject of functional equations in a broad sense, including but not limited to the following topics: Hyperstability of a linear functional equation on restricted domains Hyers–Ulam’s stability results to a three point boundary value problem of nonlinear fractional order differential equations Topological degree theory and Ulam’s stability analysis of a boundary value problem of fractional differential equations General Solution and Hyers-Ulam Stability of Duo Trigintic Functional Equation in Multi-Banach Spaces Stabilities of Functional Equations via Fixed Point Technique Measure zero stability problem for the Drygas functional equation with complex involution Fourier Transforms and Ulam Stabilities of Linear Differential Equations Hyers–Ulam stability of a discrete diamond–alpha derivative equation Approximate solutions of an interesting new mixed type additive-quadratic-quartic functional equation. The diverse selection of inequalities covered includes Opial, Hilbert-Pachpatte, Ostrowski, comparison of means, Poincare, Sobolev, Landau, Polya-Ostrowski, Hardy, Hermite-Hadamard, Levinson, and complex Korovkin type. The inequalities are also in the environments of Fractional Calculus and Conformable Fractional Calculus. Applications from this book's results can be found in many areas of pure and applied mathematics, especially in ordinary and partial differential equations and fractional differential equations. As such, this volume is suitable for researchers, graduate students and related seminars, and all science and engineering libraries. The exhibited thirty six chapters are self-contained and can be read independently and interesting advanced seminars can be given out of this book.
Download or read book Advances On Fractional Dynamic Inequalities On Time Scales written by Svetlin G Georgiev and published by World Scientific. This book was released on 2023-08-29 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted on recent developments of linear and nonlinear fractional Riemann-Liouville and Caputo integral inequalities on time scales. The book is intended for the use in the field of fractional dynamic calculus on time scales and fractional dynamic equations on time scales. It is also suitable for graduate courses in the above fields, and contains ten chapters. The aim of this book is to present a clear and well-organized treatment of the concept behind the development of mathematics as well as solution techniques. The text material of this book is presented in a readable and mathematically solid format.
Download or read book Ten Thousand Years of Inequality written by Timothy A. Kohler and published by University of Arizona Press. This book was released on 2019-02-19 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is wealth inequality a universal feature of human societies, or did early peoples live an egalitarian existence? How did inequality develop before the modern era? Did inequalities in wealth increase as people settled into a way of life dominated by farming and herding? Why in general do such disparities increase, and how recent are the high levels of wealth inequality now experienced in many developed nations? How can archaeologists tell? Ten Thousand Years of Inequality addresses these and other questions by presenting the first set of consistent quantitative measurements of ancient wealth inequality. The authors are archaeologists who have adapted the Gini index, a statistical measure of wealth distribution often used by economists to measure contemporary inequality, and applied it to house-size distributions over time and around the world. Clear descriptions of methods and assumptions serve as a model for other archaeologists and historians who want to document past patterns of wealth disparity. The chapters cover a variety of ancient cases, including early hunter-gatherers, farmer villages, and agrarian states and empires. The final chapter synthesizes and compares the results. Among the new and notable outcomes, the authors report a systematic difference between higher levels of inequality in ancient Old World societies and lower levels in their New World counterparts. For the first time, archaeology allows humanity’s deep past to provide an account of the early manifestations of wealth inequality around the world. Contributors Nicholas Ames Alleen Betzenhauser Amy Bogaard Samuel Bowles Meredith S. Chesson Abhijit Dandekar Timothy J. Dennehy Robert D. Drennan Laura J. Ellyson Deniz Enverova Ronald K. Faulseit Gary M. Feinman Mattia Fochesato Thomas A. Foor Vishwas D. Gogte Timothy A. Kohler Ian Kuijt Chapurukha M. Kusimba Mary-Margaret Murphy Linda M. Nicholas Rahul C. Oka Matthew Pailes Christian E. Peterson Anna Marie Prentiss Michael E. Smith Elizabeth C. Stone Amy Styring Jade Whitlam
Download or read book Integral Inequalities and Generalized Convexity written by Shashi Kant Mishra and published by CRC Press. This book was released on 2023-09-18 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book covers several new research findings in the area of generalized convexity and integral inequalities. Integral inequalities using various type of generalized convex functions are applicable in many branches of mathematics such as mathematical analysis, fractional calculus, and discrete fractional calculus. The book contains integral inequalities of Hermite-Hadamard type, Hermite- Hadamard-Fejer type and majorization type for the generalized strongly convex functions. It presents Hermite-Hadamard type inequalities for functions defined on Time scales. Further, it provides the generalization and extensions of the concept of preinvexity for interval-valued functions and stochastic processes, and give Hermite-Hadamard type and Ostrowski type inequalities for these functions. These integral inequalities are utilized in numerous areas for the boundedness of generalized convex functions. Features: Covers Interval-valued calculus, Time scale calculus, Stochastic processes – all in one single book Numerous examples to validate results Provides an overview of the current state of integral inequalities and convexity for a much wider audience, including practitioners Applications of some special means of real numbers are also discussed The book is ideal for anyone teaching or attending courses in integral inequalities along with researchers in this area.
Download or read book Productivity and Inequality written by William H. Greene and published by Springer. This book was released on 2018-02-02 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume highlights the state-of-the-art knowledge (including data analysis) of productivity, inequality and efficiency analysis. It showcases a selection of the best papers from the 9th North American Productivity Workshop. These papers are relevant to academia, but also to public and private sectors in terms of the challenges that firms, financial institutions, governments, and individuals may face when dealing with economic and education related activities that lead to increase or decrease of productivity. The volume also aims to bring together ideas from different parts of the world about the challenges those local economies and institutions may face when changes in productivity are observed. These contributions focus on theoretical and empirical research in areas including productivity, production theory and efficiency measurement in economics, management science, operation research, public administration, and education. The North American Productivity Workshop (NAPW) brings together academic scholars and practitioners in the field of productivity and efficiency analysis from all over the world, and this proceedings volume is a reflection of this mission. The papers in this volume also address general topics as education, health, energy, finance, agriculture, transport, utilities, and economic development, among others. The editors are comprised of the 2016 local organizers, program committee members, and celebrated guest conference speakers.
Download or read book Social Inequality in Vietnam and the Challenges to Reform written by Philip Taylor and published by Institute of Southeast Asian Studies. This book was released on 2004 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers detailed descriptions of disparities in income, spatial access, gender, ethnicity and statue, addressing their causes and consequencese. It illustrates the changing ways in which people have accumulated wealth, social and cultural capital in Vietnam's move from a socialist to a market-oriented society. Taylor from ANU.
Download or read book Mobility and Inequality written by Stephen L. Morgan and published by Stanford University Press. This book was released on 2006 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of original research from the leading scholars in sociology and economics studying mobility and inequality. The volume brings together the state-of-the-art in the field and sets the agenda for future research.
Download or read book Frontiers In Approximation Theory written by George A Anastassiou and published by World Scientific. This book was released on 2015-06-23 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents the author's work of the last five years in approximation theory. The chapters are self-contained and can be read independently. Readers will find the topics covered are diverse and advanced courses can be taught out of this book.The first part of the book is dedicated to fractional monotone approximation theory introduced for the first time by the author, taking the related ordinary theory of usual differentiation at the fractional differentiation level with polynomials and splines as approximators. The second part deals with the approximation by discrete singular operators of the Favard style, for example, of the Picard and Gauss-Weierstrass types. Then, it continues in a very detailed and extensive chapter on approximation by interpolating operators induced by neural networks, a connection to computer science. This book ends with the approximation theory and functional analysis on time scales, a very modern topic, detailing all the pros and cons of this method.The results in this book are expected to find applications in many areas of pure and applied mathematics. So far, very little is written about fractional approximation theory which is at its infancy. As such, it is suitable for researchers, graduate students, and performing seminars as well as an invaluable resource for all science libraries.
Download or read book Frontiers in Time Scales and Inequalities written by George A. Anastassiou and published by World Scientific Publishing Company. This book was released on 2016 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph contains the author's work of the last four years in discrete and fractional analysis. It introduces the right delta and right nabla fractional calculus on time scales and continues with the right delta and right nabla discrete fractional calculus in the Caputo sense. Then, it shows representation formulae of functions on time scales and presents Ostrowski type inequalities, Landau type inequalities, Grüss type and comparison of means inequalities, all these over time scales. The volume continues with integral operator inequalities and their multivariate vectorial versions using convexity of functions, again all these over time scales. It follows the Grüss and Ostrowski type inequalities involving s-convexity of functions; and also examines the general case when several functions are involved. Then, it presents the general fractional Hermite-Hadamard type inequalities using m-convexity and (s, m)-convexity. Finally, it introduces the reduction method in fractional calculus and its connection to fractional Ostrowski type inequalities is studied.This book's results are expected to find applications in many areas of pure and applied mathematics, especially in difference equations and fractional differential equations. The chapters are self-contained and can be read independently, and advanced courses can be taught out of it. It is suitable for researchers, graduate students, seminars of the above subjects, and serves well as an invaluable resource for all science libraries.
Download or read book Frontiers in Computational Fluid Structure Interaction and Flow Simulation written by Tayfun E. Tezduyar and published by Springer. This book was released on 2018-10-26 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational fluid-structure interaction and flow simulation are challenging research areas that bring solution and analysis to many classes of problems in science, engineering, and technology. Young investigators under the age of 40 are conducting much of the frontier research in these areas, some of which is highlighted in this book. The first author of each chapter took the lead role in carrying out the research presented. The topics covered include Computational aerodynamic and FSI analysis of wind turbines, Simulating free-surface FSI and fatigue-damage in wind-turbine structural systems, Aorta flow analysis and heart valve flow and structure analysis, Interaction of multiphase fluids and solid structures, Computational analysis of tire aerodynamics with actual geometry and road contact, and A general-purpose NURBS mesh generation method for complex geometries. This book will be a valuable resource for early-career researchers and students — not only those interested in computational fluid-structure interaction and flow simulation, but also other fields of engineering and science, including fluid mechanics, solid mechanics and computational mathematics – as it will provide them with inspiration and guidance for conducting their own successful research. It will also be of interest to senior researchers looking to learn more about successful research led by those under 40 and possibly offer collaboration to these researchers.
Download or read book The Sociology of Spatial Inequality written by Linda M. Lobao and published by State University of New York Press. This book was released on 2012-02-01 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 2007 CHOICE Outstanding Academic Title Sociologists have too often discounted the role of space in inequality. This book showcases a recent generation of inquiry that attends to poverty, prosperity, and power across a range of territories and their populations within the United States, addressing spatial inequality as a thematically distinct body of work that spans sociological research traditions. The contributors' various perspectives offer an agenda for future action to bridge sociology's diverse and often narrowly focused spatial and inequality traditions.
Download or read book United States Income Wealth Consumption and Inequality written by Diana Furchtgott-Roth and published by Oxford University Press. This book was released on 2020-08-25 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past 75 years, household income in the United States has increased substantially. Still, by some measures, income inequality has increased as well. This has been the subject of contested public policy and political discourse. The question still stands: How can we better articulate the nuanced changes in American incomes? It is difficult to have conversations about income inequality without an agreed-upon set of terms, metrics, and concepts. United States Income, Wealth, Consumption, and Inequality, edited by Diana Furchtgott-Roth, examines the trends in income growth in the United States and explores various measures of income, including market, post-tax, and post-transfer income. Within each chapter, distinguished experts explain how income and wealth--and the way we measure them--have changed in the United States, which demographic groups have benefited from these changes, and how mobility has changed over time and over generations. Specific chapters explain the roles of gender and race. The resulting book is relevant to modern international policy, particularly in light of the COVID-19 pandemic, and addresses what can be done to increase economic mobility in the United States.
