Introduction To The Theory Of Weighted Polynomial Approximation

Released on by H N Mhaskar
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  • Introduction To The Theory Of Weighted Polynomial Approximation Book Detail

  • Author : H N Mhaskar
  • Release Date : 1997-01-04
  • Publisher : World Scientific
  • Genre : Mathematics
  • Pages : 398
  • ISBN 13 : 9814518050
  • File Size : 75,75 MB
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Introduction To The Theory Of Weighted Polynomial Approximation by H N Mhaskar PDF Summary

Book Description: In this book, we have attempted to explain a variety of different techniques and ideas which have contributed to this subject in its course of successive refinements during the last 25 years. There are other books and surveys reviewing the ideas from the perspective of either potential theory or orthogonal polynomials. The main thrust of this book is to introduce the subject from an approximation theory point of view. Thus, the main motivation is to study analogues of results from classical trigonometric approximation theory, introducing other ideas as needed. It is not our objective to survey the most recent results, but merely to introduce to the readers the thought processes and ideas as they are developed.This book is intended to be self-contained, although the reader is expected to be familiar with rudimentary real and complex analysis. It will also help to have studied elementary trigonometric approximation theory, and have some exposure to orthogonal polynomials.

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Fundamentals of Approximation Theory

Fundamentals of Approximation Theory

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The field of approximation theory has become so vast that it intersects with every other branch of analysis and plays an increasingly important role in applicat