Korovkin-type Approximation Theory and Its Applications

Francesco Altomare; Michele Campiti

Published by De Gruyter 1994

Korovkin-type Approximation Theory and Its Applications

Francesco Altomare and Michele Campiti

Volume 17 in the series De Gruyter Studies in Mathematics

https://doi.org/10.1515/9783110884586

Overview
Contents

Reviews

"The book is an excellent reference text and may be used as a textbook for a graduate level course. [...]The authors have to be congratulated for their colossal effort in systematizing their own original results with the most important other results in KAT in a book form easy to use for references." Mathematical Reviews

"The historical notes and the references are very detailed. Well written and well produced, this comprehensive research monograph is a timely and welcome addition to the mathematical literature." Zentralblatt für Mathematik

Topics

Frontmatter Publicly Available Download PDF	I
Introduction Requires Authentication Unlicensed Licensed Download PDF	1
Interdependence of sections Requires Authentication Unlicensed Licensed Download PDF	8
Notation Requires Authentication Unlicensed Licensed Download PDF	10
Chapter 1 Preliminaries Requires Authentication Unlicensed Licensed Download PDF	15
Chapter 2 Korovkin-type theorems for bounded positive Radon measures Requires Authentication Unlicensed Licensed Download PDF	74
Chapter 3 Korovkin-type theorems for positive linear operators Requires Authentication Unlicensed Licensed Download PDF	141
Chapter 4 Korovkin-type theorems for the identity operator Requires Authentication Unlicensed Licensed Download PDF	195
Chapter 5 Applications to positive approximation processes on real intervals Requires Authentication Unlicensed Licensed Download PDF	264
Chapter 6 Applications to positive approximation processes on convex compact sets Requires Authentication Unlicensed Licensed Download PDF	377
Appendix A Korovkin-type approximation theory on commutative Banach algebras Requires Authentication Unlicensed Licensed Download PDF	481
Appendix Β Korovkin-type approximation theory on C*-algebras Requires Authentication Unlicensed Licensed Download PDF	518
Appendix C A list of determining sets and Korovkin sets Requires Authentication Unlicensed Licensed Download PDF	526
Appendix D A subject classification of Korovkin-type approximation theory with a subject index Requires Authentication Unlicensed Licensed Download PDF	537
Bibliography Requires Authentication Unlicensed Licensed Download PDF	555
Symbol index Requires Authentication Unlicensed Licensed Download PDF	607
Subject index Requires Authentication Unlicensed Licensed Download PDF	617

Language: English
Publisher: De Gruyter
Edition: Reprint 2011
Pages
- Front matter: 11
- Main content: 627
Illustrations
- Other: Num. figs.

eBook

Published: July 21, 2011
ISBN: 9783110884586

Hardcover

Published: August 1, 1994
ISBN: 9783110141788