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Diese Monographie enthält die erste vollständige Darstellung der Korovkinschen Approximationstheorie in Funktionsräumen und ihre Anwendungen. Das Buch gibt einen Überblick über klassische und moderne Resultate unter Berücksichtigung neuester Ergebnisse.
Das Buch wendet sich vor allem an Mathematiker mit den Interessengebieten Funktionalanalysis und Approximationstheorie, ist aber auch für fortgeschrittene Studenten als Begleittext einer entsprechenden Vorlesung geeignet.
List of contents
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
Report
"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
