Approximation Theory Using Positive Linear Operators

Authors: Paltanea, Radu

Editors: Anastassiou, George A. (Ed.)

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Softcover 114,39 €
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About this book

This work treats quantitative aspects of the approximation of functions using positive linear operators. The theory of these operators has been an important area of research in the last few decades, particularly as it affects computer-aided geometric design. In this book, the crucial role of the second order moduli of continuity in the study of such operators is emphasized. New and efficient methods, applicable to general operators and to diverse concrete moduli, are presented. The advantages of these methods consist in obtaining improved and even optimal estimates, as well as in broadening the applicability of the results.

Additional Topics and Features:

*  Examination of the multivariate approximation case

*  Special focus on the Bernstein operators, including applications, and on two new classes of Bernstein-type operators

*  Many general estimates, leaving room for future applications (e.g. the B-spline case)

*  Extensions to approximation operators acting on spaces of vector functions

*  Historical perspective in the form of previous significant results

This monograph will be of interest to those working in the field of approximation or functional analysis. Requiring only familiarity with the basics of approximation theory, the book may serve as a good supplementary text for courses in approximation theory, or as a reference text on the subject.

Reviews

From the reviews:

“This monograph will be of interest to those working in the field of approximation, and it may serve as a good supplementary text for courses in approximation theory, or as a reference text on the subject.”(ZENTRALBLATT MATH)


Table of contents (6 chapters)

  • Introduction

    Păltănea, Radu

    Pages 1-14

    Preview Buy Chapter 30,19 €
  • Estimates with Second Order Moduli

    Păltănea, Radu

    Pages 15-68

    Preview Buy Chapter 30,19 €
  • Absolute Optimal Constants

    Păltănea, Radu

    Pages 69-87

    Preview Buy Chapter 30,19 €
  • Estimates for the Bernstein Operators

    Păltănea, Radu

    Pages 89-129

    Preview Buy Chapter 30,19 €
  • Two Classes of Bernstein Type Operators

    Păltănea, Radu

    Pages 131-159

    Preview Buy Chapter 30,19 €

Buy this book

eBook 89,99 €
price for Spain (gross)
  • ISBN 978-1-4612-2058-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 114,39 €
price for Spain (gross)
  • ISBN 978-0-8176-4350-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Approximation Theory Using Positive Linear Operators
Authors
Editors
  • George A. Anastassiou
Copyright
2004
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-1-4612-2058-9
DOI
10.1007/978-1-4612-2058-9
Softcover ISBN
978-0-8176-4350-8
Edition Number
1
Number of Pages
X, 202
Topics