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Book Asymptotic Properties of Polynomials with Auxiliary Conditions of Interpolation

Download or read book Asymptotic Properties of Polynomials with Auxiliary Conditions of Interpolation written by Joseph Leonard Walsh and published by . This book was released on 1961 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let a closed bounded point set E be given in the z-plane. Necessary and sufficient conditions are found for validity of the following: given assigned conditions of interpolation in a finite number of points: pn(zk) = Ank; there exists a sequence of polynomials pn(z) satisfying these conditions and lim sup max pn(z), z on E 1/n = (E), where (E) is the transfinite diameter of E. (Author).

Book On Infrapolynomials with Prescribed Constant Term

Download or read book On Infrapolynomials with Prescribed Constant Term written by J. L. Walsh and published by . This book was released on 1956 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Strong Asymptotics for Extremal Polynomials Associated with Weights on R

Download or read book Strong Asymptotics for Extremal Polynomials Associated with Weights on R written by Doron Shaul Lubinsky and published by Lecture Notes in Mathematics. This book was released on 1988-03-09 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: 0. The results are consequences of a strengthened form of the following assertion: Given 0 > 1. Auxiliary results include inequalities for weighted polynomials, and zeros of extremal polynomials. The monograph is fairly self-contained, with proofs involving elementary complex analysis, and the theory of orthogonal and extremal polynomials. It should be of interest to research workers in approximation theory and orthogonal polynomials.

Book AFOSR

    Book Details:
  • Author : United States. Air Force. Office of Scientific Research
  • Publisher :
  • Release : 1959
  • ISBN :
  • Pages : 718 pages

Download or read book AFOSR written by United States. Air Force. Office of Scientific Research and published by . This book was released on 1959 with total page 718 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book U S  Government Research Reports

Download or read book U S Government Research Reports written by and published by . This book was released on 1960 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Selected Papers

    Book Details:
  • Author : Joseph L. Walsh
  • Publisher : Springer Science & Business Media
  • Release : 2000-02-11
  • ISBN : 9780387987828
  • Pages : 734 pages

Download or read book Selected Papers written by Joseph L. Walsh and published by Springer Science & Business Media. This book was released on 2000-02-11 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a selection from the 281 published papers of Joseph Leonard Walsh, former US Naval Officer and professor at University of Maryland and Harvard University. The nine broad sections are ordered following the evolution of his work. Commentaries and discussions of subsequent development are appended to most of the sections. Also included is one of Walsh's most influential works, "A closed set of normal orthogonal function," which introduced what is now known as "Walsh Functions".

Book Journal of Research of the National Bureau of Standards

Download or read book Journal of Research of the National Bureau of Standards written by and published by . This book was released on 1962 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Asymptotic Properties of Balanced Extremal Sobolev Polynomials

Download or read book Asymptotic Properties of Balanced Extremal Sobolev Polynomials written by M. Alfaro and published by . This book was released on 1998 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Geometry of Polynomials

    Book Details:
  • Author : Morris Marden
  • Publisher : American Mathematical Soc.
  • Release : 1949-12-31
  • ISBN : 0821815032
  • Pages : 260 pages

Download or read book Geometry of Polynomials written by Morris Marden and published by American Mathematical Soc.. This book was released on 1949-12-31 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the years since the first edition of this well-known monograph appeared, the subject (the geometry of the zeros of a complex polynomial) has continued to display the same outstanding vitality as it did in the first 150 years of its history, beginning with the contributions of Cauchy and Gauss. Thus, the number of entries in the bibliography of this edition had to be increased from about 300 to about 600 and the book enlarged by one third. It now includes a more extensive treatment of Hurwitz polynomials and other topics. The new material on infrapolynomials, abstract polynomials, and matrix methods is of particular interest.

Book OAR Quarterly Index of Current Research Results

Download or read book OAR Quarterly Index of Current Research Results written by United States. Air Force. Office of Aerospace Research and published by . This book was released on 1959 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Extremal Properties of Polynomials

Download or read book Extremal Properties of Polynomials written by S. B. Stechkin and published by . This book was released on 1967 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings and papers discussing properties of polynomials.

Book Bulletin of the American Mathematical Society

Download or read book Bulletin of the American Mathematical Society written by and published by . This book was released on 1975 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Asymptotics for Orthogonal Polynomials

Download or read book Asymptotics for Orthogonal Polynomials written by Walter Van Assche and published by Lecture Notes in Mathematics. This book was released on 1987-06-24 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recently there has been a great deal of interest in the theory of orthogonal polynomials. The number of books treating the subject, however, is limited. This monograph brings together some results involving the asymptotic behaviour of orthogonal polynomials when the degree tends to infinity, assuming only a basic knowledge of real and complex analysis. An extensive treatment, starting with special knowledge of the orthogonality measure, is given for orthogonal polynomials on a compact set and on an unbounded set. Another possible approach is to start from properties of the coefficients in the three-term recurrence relation for orthogonal polynomials. This is done using the methods of (discrete) scattering theory. A new method, based on limit theorems in probability theory, to obtain asymptotic formulas for some polynomials is also given. Various consequences of all the results are described and applications are given ranging from random matrices and birth-death processes to discrete Schrödinger operators, illustrating the close interaction with different branches of applied mathematics.