IJPAM: Volume 87, No. 4 (2013)
KOROVKIN SETS FOR SEQUENCES
OF SHAPE-PRESERVING OPERATORS
OF SHAPE-PRESERVING OPERATORS
Sergei Sidorov
Department of Mechanics and Mathematics
Saratov State University
Saratov, RUSSIAN FEDERATION
Department of Mechanics and Mathematics
Saratov State University
Saratov, RUSSIAN FEDERATION
Abstract. This paper examines Korovkin sets for sequences of operators which are shape-preserving relative to a cone of generalized convex functions, and gives some applications to shape-preserving linear approximation.
Received: July 25, 2013
AMS Subject Classification: 41A35, 41A29
Key Words and Phrases: Korovkin-type theorem, shape-preserving approximation
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DOI: 10.12732/ijpam.v87i4.13 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 87
Issue: 4
