Korovkin-type theorem for sequences of operators preserving shape

In the paper we present Korovkin-type theorem concerning conditions of convergence sequences of linear operators preserving shape.

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Bibliographic Details
Published inPositivity : an international journal devoted to the theory and applications of positivity in analysis Vol. 15; no. 1; pp. 11 - 16
Main Author Sidorov, S. P.
Format Journal Article
LanguageEnglish
Published Basel SP Birkhäuser Verlag Basel 01.03.2011
Springer Nature B.V
Subjects
Approximation
Calculus of Variations and Optimal Control; Optimization
Convex analysis
Econometrics
Fourier Analysis
Mathematics
Mathematics and Statistics
Operator Theory
Potential Theory
Studies
Theorems
Korovkin theorem
Secondary 41A36
Primary 41A35
Shape-preserving approximation
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Summary:In the paper we present Korovkin-type theorem concerning conditions of convergence sequences of linear operators preserving shape.
ISSN:1385-1292
1572-9281
DOI:10.1007/s11117-009-0038-z