Strong Asymptotics for Extremal Polynomials Associated with Weights on R

Strong Asymptotics for Extremal Polynomials Associated with Weights on R

Author: Doron S. Lubinsky

Publisher: Springer

Published: 2006-11-14

Total Pages: 160

ISBN-13: 3540388575

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0. The results are consequences of a strengthened form of the following assertion: Given 0 p, f Lp ( ) and a certain sequence of positive numbers associated with Q(x), there exist polynomials Pn of degree at most n, n = 1,2,3..., such that if and only if f(x) = 0 for a.e.


Author:

Publisher: Springer Nature

Published:

Total Pages: 598

ISBN-13: 3031651332

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Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights

Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights

Author: Eli Levin

Publisher: Springer

Published: 2018-02-13

Total Pages: 168

ISBN-13: 3319729470

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This book establishes bounds and asymptotics under almost minimal conditions on the varying weights, and applies them to universality limits and entropy integrals. Orthogonal polynomials associated with varying weights play a key role in analyzing random matrices and other topics. This book will be of use to a wide community of mathematicians, physicists, and statisticians dealing with techniques of potential theory, orthogonal polynomials, approximation theory, as well as random matrices.


Topics In Polynomials: Extremal Problems, Inequalities, Zeros

Topics In Polynomials: Extremal Problems, Inequalities, Zeros

Author: Gradimir V Milovanovic

Publisher: World Scientific

Published: 1994-06-28

Total Pages: 844

ISBN-13: 9814506486

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The book contains some of the most important results on the analysis of polynomials and their derivatives. Besides the fundamental results which are treated with their proofs, the book also provides an account of the most recent developments concerning extremal properties of polynomials and their derivatives in various metrics with an extensive analysis of inequalities for trigonometric sums and algebraic polynomials, as well as their zeros. The final chapter provides some selected applications of polynomials in approximation theory and computer aided geometric design (CAGD). One can also find in this book several new research problems and conjectures with sufficient information concerning the results obtained to date towards the investigation of their solution.


A Method for Computing Unsteady Flows in Porous Media

A Method for Computing Unsteady Flows in Porous Media

Author: R Raghavan

Publisher: Routledge

Published: 2017-11-22

Total Pages: 136

ISBN-13: 1351469762

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Self-contained and concise, this Research Note provides a basis to study unsteady flow in saturated porous media. It provides for the development of algorithms that examine three-dimensional flows subject to complicated boundary conditions that are a natural consequence of flow in geological systems. A new way to understand the flow in porous media is presented. The authors pay attention to computational considerations, and options for developing codes are addressed. The note consists of five chapters: the first is introductory; the second and third are devoted to showing how one arrives at the solutions of interest; the fourth chapter presents various reformulations to aid computations and presents a few illustrative examples; the fifth chapter is a natural progression of the first four chapters to more complicated visualizations of flow in porous media.


Stochastic Analysis and Related Topics

Stochastic Analysis and Related Topics

Author: Hayri Korezlioglu

Publisher: Springer

Published: 2006-11-14

Total Pages: 384

ISBN-13: 354039186X

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The Silvri Workshop was divided into a short summer school and a working conference, producing lectures and research papers on recent developments in stochastic analysis on Wiener space. The topics treated in the lectures relate to the Malliavin calculus, the Skorohod integral and nonlinear functionals of white noise. Most of the research papers are applications of these subjects. This volume addresses researchers and graduate students in stochastic processes and theoretical physics.


Numerical Analysis and Parallel Processing

Numerical Analysis and Parallel Processing

Author: Peter R. Turner

Publisher: Springer

Published: 2006-11-14

Total Pages: 274

ISBN-13: 3540467327

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Each week of this three week meeting was a self-contained event, although each had the same underlying theme - the effect of parallel processing on numerical analysis. Each week provided the opportunity for intensive study to broaden participants' research interests or deepen their understanding of topics of which they already had some knowledge. There was also the opportunity for continuing individual research in the stimulating environment created by the presence of several experts of international stature. This volume contains lecture notes for most of the major courses of lectures presented at the meeting; they cover topics in parallel algorithms for large sparse linear systems and optimization, an introductory survey of level-index arithmetic and superconvergence in the finite element method.


Functional Analysis

Functional Analysis

Author: Edward W. Odell

Publisher: Springer

Published: 2006-11-14

Total Pages: 212

ISBN-13: 3540458921

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The articles in this volume are based on talks given in a seminar at Austin during 1986-87. They range from those dealing with fresh research and discoveries to exposition and new proofs of older results. The main topics and themes include geometric and analytic properties of infinite-dimensional Banach spaces and their convex subsets as well as some aspects of Banach spaces associated with harmonic analysis and Banach algebras.


Groups of Self-Equivalences and Related Topics

Groups of Self-Equivalences and Related Topics

Author: Renzo A. Piccinini

Publisher: Springer

Published: 2006-11-14

Total Pages: 223

ISBN-13: 3540470913

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Since the subject of Groups of Self-Equivalences was first discussed in 1958 in a paper of Barcuss and Barratt, a good deal of progress has been achieved. This is reviewed in this volume, first by a long survey article and a presentation of 17 open problems together with a bibliography of the subject, and by a further 14 original research articles.