Skip to main content
  • Book
  • © 2012

Algebraic Approximation: A Guide to Past and Current Solutions

Birkhäuser

Authors:

  • 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
  • Includes supplementary material: sn.pub/extras

Part of the book series: Frontiers in Mathematics (FM)

Buy it now

Buying options

eBook USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 59.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (5 chapters)

  1. Front Matter

    Pages i-vii
  2. Some Notes on Trigonometric Approximation

    • Jorge Bustamante
    Pages 1-10
  3. The End Points Effect

    • Jorge Bustamante
    Pages 11-66
  4. Looking for New Moduli

    • Jorge Bustamante
    Pages 67-99
  5. Exact Estimates and Asymptotics

    • Jorge Bustamante
    Pages 101-111
  6. Construction of Special Operators

    • Jorge Bustamante
    Pages 113-178
  7. Back Matter

    Pages 179-205

About this book

This book contains an exposition of several results related with direct and converse theorems in the theory of approximation by algebraic polynomials in a finite interval. In addition, some facts concerning trigonometric approximation that are necessary for motivation and comparisons are included. The selection of papers that are referenced and discussed document some trends in polynomial approximation from the 1950s to the present day.

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)

Authors and Affiliations

  • , Facultad de Ciencias Físico-Matemáticas, Benemerita Universidad Autonoma de Puebl, Puebla, Mexico

    Jorge Bustamante

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

  • Publisher: Birkhäuser Basel

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Basel AG 2012

  • Softcover ISBN: 978-3-0348-0193-5Published: 16 November 2011

  • eBook ISBN: 978-3-0348-0194-2Published: 15 November 2011

  • Series ISSN: 1660-8046

  • Series E-ISSN: 1660-8054

  • Edition Number: 1

  • Number of Pages: VII, 205

  • Number of Illustrations: 1 illustrations in colour

  • Topics: Approximations and Expansions

Buy it now

Buying options

eBook USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 59.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access