Download or read book Indices and Interpolation written by Lech Maligranda and published by . This book was released on 1983 with total page 69 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Indices and Interpolation written by Lech Maligranda and published by . This book was released on 1985 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Interpolation of Operators written by Colin Bennett and published by Academic Press. This book was released on 1988-04-01 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents interpolation theory from its classical roots beginning with Banach function spaces and equimeasurable rearrangements of functions, providing a thorough introduction to the theory of rearrangement-invariant Banach function spaces. At the same time, however, it clearly shows how the theory should be generalized in order to accommodate the more recent and powerful applications. Lebesgue, Lorentz, Zygmund, and Orlicz spaces receive detailed treatment, as do the classical interpolation theorems and their applications in harmonic analysis.The text includes a wide range of techniques and applications, and will serve as an amenable introduction and useful reference to the modern theory of interpolation of operators.
Download or read book Interpolation Processes written by Giuseppe Mastroianni and published by Springer Science & Business Media. This book was released on 2008-08-24 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interpolation of functions is one of the basic part of Approximation Theory. There are many books on approximation theory, including interpolation methods that - peared in the last fty years, but a few of them are devoted only to interpolation processes. An example is the book of J. Szabados and P. Vértesi: Interpolation of Functions, published in 1990 by World Scienti c. Also, two books deal with a special interpolation problem, the so-called Birkhoff interpolation, written by G.G. Lorentz, K. Jetter, S.D. Riemenschneider (1983) and Y.G. Shi (2003). The classical books on interpolation address numerous negative results, i.e., - sultsondivergentinterpolationprocesses,usuallyconstructedoversomeequidistant system of nodes. The present book deals mainly with new results on convergent - terpolation processes in uniform norm, for algebraic and trigonometric polynomials, not yet published in other textbooks and monographs on approximation theory and numerical mathematics. Basic tools in this eld (orthogonal polynomials, moduli of smoothness,K-functionals, etc.), as well as some selected applications in numerical integration, integral equations, moment-preserving approximation and summation of slowly convergent series are also given. The rstchapterprovidesanaccountofbasicfactsonapproximationbyalgebraic and trigonometric polynomials introducing the most important concepts on appro- mation of functions. Especially, in Sect. 1.4 we give basic results on interpolation by algebraic polynomials, including representations and computation of interpolation polynomials, Lagrange operators, interpolation errors and uniform convergence in some important classes of functions, as well as an account on the Lebesgue function and some estimates for the Lebesgue constant.
Download or read book Indexing Interpolated Time Sequences written by Ling Lin and published by . This book was released on 1996 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "A time sequence is a discrete sequence of values, e.g. temperature measurements, varying over time. By applying an interpolation function a discrete time sequence can be coerced into a continues [sic] function over time, F(t), which we call an interpolated time sequence. Many applications need to deal with querying interpolated time sequences. Simple queries involve finding F(t') for a given time point t', which are easy to support using regular ordered indexes. The main contribution of this paper is a new index structure, the interpolation index (IP-index) which supports efficient retrievals of those time points t where F(t) = v' for a given v', i.e. efficient computation of interpolated inverse queries, F[superscript -1](v'). Performance measures show that the IP-index radically improves the search time for interpolated inverse queries. It is also shown that the insertion time of the IP-index for most periodic time sequences has an upper limit, and for largely monotonic sequences it is logarithmic."
Download or read book The differnetial method or A treatise concerning summation and interpolation of infinite series tr by F Holliday written by James Stirling and published by . This book was released on 1749 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Practical IDL Programming written by Liam E. Gumley and published by Elsevier. This book was released on 2001-07-25 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: Increasingly, scientists and engineers must quickly and efficiently analyze and visualize extremely large sets of data. Interactive Data Language, IDL, was designed to address just this need. A popular data analysis and visualization programming environment, IDL is used worldwide by scientists and engineers in fields as diverse as the physical sciences, medical physics, and engineering test and analysis. In Practical IDL Programming, Liam E. Gumley provides a solid foundation in the fundamentals of procedural programming in IDL. He presents concise information on how to develop IDL programmers that are well structured, reliable, and efficient. The example programs in the book demonstrate key concepts and provide functionality that can be applied immediately. In addition, the book offers readers practical tips and advice on IDL programming, which they would otherwise discover only after years of experience. While only modest prior programming experience is assumed, readers with experience in any procedural language will quickly translate their skills to IDL, learning the best programming practices for this new environment. Scientists, engineers, and students in educational, government, and commercial research and development environments will all appreciate the author's guidance in helping them effectively analyze and visualize data. * Presents a comprehensive and detailed treatment of IDL data types, operators, expressions, array operations, input and output, direct graphics, plotting and imaging, publication quality output, and graphical user interfaces.* Designed for novices and experienced IDL users and programmers alike.* Provides an accompanying Web site with downloadable versions of all IDL programs in the book and a link to downloadable demonstration versions of the IDL software.
Download or read book Interpolation Spaces written by J. Bergh and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: The works of Jaak Peetre constitute the main body of this treatise. Important contributors are also J. L. Lions and A. P. Calderon, not to mention several others. We, the present authors, have thus merely compiled and explained the works of others (with the exception of a few minor contributions of our own). Let us mention the origin of this treatise. A couple of years ago, J. Peetre suggested to the second author, J. Lofstrom, writing a book on interpolation theory and he most generously put at Lofstrom's disposal an unfinished manu script, covering parts of Chapter 1-3 and 5 of this book. Subsequently, LOfstrom prepared a first rough, but relatively complete manuscript of lecture notes. This was then partly rewritten and thouroughly revised by the first author, J. Bergh, who also prepared the notes and comment and most of the exercises. Throughout the work, we have had the good fortune of enjoying Jaak Peetre's kind patronage and invaluable counsel. We want to express our deep gratitude to him. Thanks are also due to our colleagues for their support and help. Finally, we are sincerely grateful to Boe1 Engebrand, Lena Mattsson and Birgit Hoglund for their expert typing of our manuscript.
Download or read book Time Variant Systems and Interpolation written by Israel Gohberg and published by Springer Science & Business Media. This book was released on 1992 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Six papers deal with interrelated problems of modern operator theory, complex analysis, and system theory at a level accessible to advanced mathematicians and engineers. They provide a cross-section of recent advances in the understanding of the theory of time-varying systems and time-varying of analogues of interpolation problems. No index. Annotation copyrighted by Book News, Inc., Portland, OR
Download or read book Topics In Interpolation Theory written by Harry Dym and published by Springer Science & Business Media. This book was released on 1997 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vladimir Petrovich Potapov, as remembered by colleagues, friends and former students.- On a minimum problem in function theory and the number of roots of an algebraic equation inside the unit disc.- On tangential interpolation in reproducing kernel Hilbert modules and applications.- Notes on a Nevanlinna-Pick interpolation problem for generalized Nevanlinna functions.- The indefinite metric in the Schur interpolation problem for analytic functions, IV.- Bitangential interpolation for upper triangular operators.- Bitangential interpolation for upper triangular operators when the Pick operator is strictly positive.- Integral representations of a pair of nonnegative operators and interpolation problems in the Stieltjes class.- On recovering a multiplicative integral from its modulus.- On Schur functions and Szegö orthogonal polynomials.- Hilbert spaces of entire functions as a J theory subject.- On transformations of Potapov's fundamental matrix inequality.- An abstract interpolation problem and the extension theory of isometric operators.- On the theory of matrix-valued functions belonging to the Smirnov class.- Integral representation of function of class Ka.- On the theory of entire matrix-functions of exponential type.- Analogs of Nehari and Sarason theorems for character-automorphic functions and some related questions.- The Blaschke-Potapov factorization theorem and the theory of nonselfadjoint operators.- Weyl matrix circles as a tool for uniqueness in the theory of multiplicative representation of J-inner functions.- On a criterion of positive definiteness.- Matrix boundary value problems with eigenvalue dependent boundary conditions (The linear case).- Weyl-Titchmarsh functions of the canonical periodical system of differential equations.- On boundary values of functions regular in a disk.
Download or read book Interpolation based Indes i e Index Maintenance written by Walter A. Burkhard and published by . This book was released on 1982 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Risk reduction written by Mervyn Richardson and published by CRC Press. This book was released on 2002-09-11 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concerned with the need to reduce chemical risks, this text also covers related biological and physical risks. Risk reduction has an important economic role, not least in developing countries. Many of the contributors are from develping countries and indicate the problems and some of the solutions their countries will need to adopt during their process of reconstruction, development and recovery. The text discusses the decision-making process involving the political, socioeconomic, engineering, and natural sciences so as to develop, analyze and compare regulatory options. It considers how such measured decision making enables the selection of optimal responses to achieve safety from perceived hazards.
Download or read book Interpolation of Functions written by J. Szabados and published by World Scientific. This book was released on 1990 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a systematic survey on the most significant results of interpolation theory in the last forty years. It deals with Lagrange interpolation including lower estimates, fine and rough theory, interpolatory proofs of Jackson and Teliakovski-Gopengauz theorems, Lebesgue function, Lebesgue constant of Lagrange interpolation, Bernstein and Erdös conjecture on the optimal nodes, the almost everywhere divergence of Lagrange interpolation for arbitrary system of nodes, Hermite-Fejer type and lacunary interpolation and other related topics.
Download or read book Interpolation Formulae for the Adjustment of Index Numbers written by V. Lewis Bassie and published by . This book was released on 1939 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Interpolation Theory written by Alessandra Lunardi and published by Springer. This book was released on 2018-05-05 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the third edition of the 1999 lecture notes of the courses on interpolation theory that the author delivered at the Scuola Normale in 1998 and 1999. In the mathematical literature there are many good books on the subject, but none of them is very elementary, and in many cases the basic principles are hidden below great generality. In this book the principles of interpolation theory are illustrated aiming at simplification rather than at generality. The abstract theory is reduced as far as possible, and many examples and applications are given, especially to operator theory and to regularity in partial differential equations. Moreover the treatment is self-contained, the only prerequisite being the knowledge of basic functional analysis.
Download or read book Inflation Accounting A Manual on National Accounting Under Conditions of High Inflation written by OECD and published by OECD Publishing. This book was released on 2003-08-19 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: Under inflation, national accounts at current as well as at constant prices will be seriously distorted unless special adjustment techniques are applied. By explaining these systematically, this book brings new insights into the measurement of income as well as the calculation of indices.
Download or read book H rmander Spaces Interpolation and Elliptic Problems written by Vladimir A. Mikhailets and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-07-14 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: The monograph gives a detailed exposition of the theory of general elliptic operators (scalar and matrix) and elliptic boundary value problems in Hilbert scales of Hörmander function spaces. This theory was constructed by the authors in a number of papers published in 2005–2009. It is distinguished by a systematic use of the method of interpolation with a functional parameter of abstract Hilbert spaces and Sobolev inner product spaces. This method, the theory and their applications are expounded for the first time in the monographic literature. The monograph is written in detail and in a reader-friendly style. The complete proofs of theorems are given. This monograph is intended for a wide range of mathematicians whose research interests concern with mathematical analysis and differential equations.
