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- catalog abstract "This book presents a unified approach to Korovkin-type approximation theorems. It includes classical material on the approximation of real-valuedfunctions as well as recent and new results on set-valued functions and stochastic processes, and on weighted approximation. The results are notonly of qualitative nature, but include quantitative bounds on the order of approximation. The book is addressed to researchers in functional analysis and approximation theory as well as to those that want to applythese methods in other fields. It is largely self- contained, but the readershould have a solid background in abstract functional analysis. The unified approach is based on a new notion of locally convex ordered cones that are not embeddable in vector spaces but allow Hahn-Banach type separation and extension theorems. This concept seems to be of independent interest.".
- catalog contributor b3716112.
- catalog contributor b3716113.
- catalog created "c1992.".
- catalog date "1992".
- catalog date "c1992.".
- catalog dateCopyrighted "c1992.".
- catalog description "Includes bibliographical references and index.".
- catalog description "This book presents a unified approach to Korovkin-type approximation theorems. It includes classical material on the approximation of real-valuedfunctions as well as recent and new results on set-valued functions and stochastic processes, and on weighted approximation. The results are notonly of qualitative nature, but include quantitative bounds on the order of approximation. The book is addressed to researchers in functional analysis and approximation theory as well as to those that want to applythese methods in other fields. It is largely self- contained, but the readershould have a solid background in abstract functional analysis. The unified approach is based on a new notion of locally convex ordered cones that are not embeddable in vector spaces but allow Hahn-Banach type separation and extension theorems. This concept seems to be of independent interest.".
- catalog extent "vi, 134 p. ;".
- catalog hasFormat "Ordered cones and approximation.".
- catalog identifier "0387554459".
- catalog identifier "3540554459 :".
- catalog isFormatOf "Ordered cones and approximation.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1517.".
- catalog isPartOf "Lecture notes in mathematics ; 1517".
- catalog issued "1992".
- catalog issued "c1992.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Ordered cones and approximation.".
- catalog subject "510 s 515/.724 20".
- catalog subject "Approximation theory.".
- catalog subject "Cones (Operator theory)".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1517 QA329".
- catalog title "Ordered cones and approximation / Klaus Keimel, Walter Roth.".
- catalog type "text".