LOCAL APPROXIMATION BEHAVIOR OF MODIFIED SMK OPERATORS

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Univ Miskolc Inst Math

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info:eu-repo/semantics/openAccess

Abstract

In this paper, for a general modification of the classical Szasz-Mirakjan-Kantorovich operators, we obtain many local approximation results including the classical cases. In particular, we obtain a Korovkin theorem, a Voronovskaya theorem, and some local estimates for these operators.

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Szasz-Mirakjan-Kantorovich, modulus of continuity, second modulus of smoothness, Peetre's K-functional, Korovkin theorem, Voronovskaya theorem

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Miskolc Mathematical Notes

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11

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1

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