Korovkin-type Approximation Theory and Its Applications
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Reviews / Votes
"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
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Content
Introduction
Interdependence of sections
Notation
Chapter 1 Preliminaries
Chapter 2 Korovkin-type theorems for bounded positive Radon measures
Chapter 3 Korovkin-type theorems for positive linear operators
Chapter 4 Korovkin-type theorems for the identity operator
Chapter 5 Applications to positive approximation processes on real intervals
Chapter 6 Applications to positive approximation processes on convex compact sets
Appendix A Korovkin-type approximation theory on commutative Banach algebras
Appendix B Korovkin-type approximation theory on C algebras
Appendix C A list of determining sets and Korovkin sets
Appendix D A subject classification of Korovkin-type approximation theory with a subject index
Bibliography
Symbol index
Subject index