Introduction to the theory of weighted polynomial approximation:

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 ort...

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Bibliographic Details
Main Author: Mhaskar, H. N. 1956- (Author)
Format: Electronic eBook
Language:English
Published: Singapore World Scientific Pub. Co. c1996
Series:Series in approximations and decompositions v. 7
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Online Access:FHN01
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Summary: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
Physical Description:xiv, 379 p
ISBN:9789812832139

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