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Zusammenfassung

"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

Inhalt

This book provides a comprehensive exposition of Korovkin-type approximation theory in function spaces. It is the first monographon on this topic and is mainly addressed to mathematicians working in functional analysis and approximation theory
Summary of contents:
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