Function-valued Korovkin systems without quasiconcavity and set-valued Korovkin systems without convexity (Q1826868)
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scientific article; zbMATH DE number 2081949
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Function-valued Korovkin systems without quasiconcavity and set-valued Korovkin systems without convexity |
scientific article; zbMATH DE number 2081949 |
Statements
Function-valued Korovkin systems without quasiconcavity and set-valued Korovkin systems without convexity (English)
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6 August 2004
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In the present paper the author gives the method for the construction of Korovkin systems in the spaces of continuous functions whose values are (possibly non-convex) sets or in a more general case (possibly non-quasiconcave) the upper semi continuous functions. The Korovkin system is constructed from a given Korovkin system of real functions. Further, it has been shown that any Korovkin system in the quasiconcave case is augmented by all constant functions, is a Korovkin system for the general case.
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Korovkin system
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linear positive operators
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upper semi continuous functions
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non-convex sets
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convex hull
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