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© 2012

Algebraic Approximation: A Guide to Past and Current Solutions

Benefits

  • Puts together different known solutions to problems in algebraic approximation not collected in any other text book

  • Helps finding the correct references for a specific result

  • Comprehensive bibliographic references give a unique understanding of the evolution of approximation theory

Book

Part of the Frontiers in Mathematics book series (FM)

Table of contents

  1. Front Matter
    Pages i-vii
  2. Jorge Bustamante
    Pages 1-10
  3. Jorge Bustamante
    Pages 11-66
  4. Jorge Bustamante
    Pages 67-99
  5. Jorge Bustamante
    Pages 101-111
  6. Jorge Bustamante
    Pages 113-178
  7. Back Matter
    Pages 179-205

About this book

Introduction

This book presents a unique survey of solutions in algebraic approximation. Several results related with direct and converse theorems in the theory of approximation by algebraic polynomials in a finite interval are discussed. Some of these results are not collected in any other book. In addition, facts concerning trigonometric approximation that are necessary for motivation and comparisons are included. The selection of papers that are referenced and discussed document trends in polynomial approximation from the 1950s to the present day.

 

Algebraic Approximation: A Guide to Past and Current Solutions will be invaluable to anyone seeking to understand the evolution of ideas in algebraic approximation. Its extensive bibliographic character will help finding the correct references for a specific result.

Authors and affiliations

  1. 1., Facultad de Ciencias Físico-MatemáticasBenemerita Universidad Autonoma de PueblPueblaMexico

Bibliographic information

  • Book Title Algebraic Approximation: A Guide to Past and Current Solutions
  • Authors Jorge Bustamante
  • Series Title Frontiers in Mathematics
  • DOI https://doi.org/10.1007/978-3-0348-0194-2
  • Copyright Information Springer Basel AG 2012
  • Publisher Name Springer, Basel
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Softcover ISBN 978-3-0348-0193-5
  • eBook ISBN 978-3-0348-0194-2
  • Series ISSN 1660-8046
  • Series E-ISSN 1660-8054
  • Edition Number 1
  • Number of Pages VII, 205
  • Number of Illustrations 0 b/w illustrations, 1 illustrations in colour
  • Topics Approximations and Expansions
  • Buy this book on publisher's site

Reviews

From the reviews:

“This book is a survey of several topics in algebraic polynomial approximation on a finite interval, mostly related to the degree of approximation. … The book can be of great help to researchers, both those taking their first steps in the subject and veteran researchers who need to check references.” (D. Leviatan, Mathematical Reviews, September, 2013)

“The monograph presents an exposition of results related to direct and converse theorems in the theory of approximation by algebraic polynomials in a finite interval. … The main achievement of the book is that it gathers some different known solutions to problems in algebraic approximation that are not collected in other text books. … this book is a very helpful tool for students and researchers interested in approximation by algebraic polynomials.” (Daniel Cárdenas-Morales, Zentralblatt MATH, Vol. 1248, 2012)