Modified Szasz-Mirakjan-Kantorovich Operators Preserving Linear Functions

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Tubitak Scientific & Technological Research Council Turkey

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info:eu-repo/semantics/openAccess

Abstract

In this paper, we introduce a modification of the Szasz-Mirakjan-Kantorovich operators, which preserve the linear functions. This type of operator modification enables better error estimation on the interval [1/2, +infinity) than the classical Szasz-Mirakjan-Kantorovich operators. We also obtain a Voronovskaya-type theorem for these operators.

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Szasz-Mirakjan operators, Szasz-Mirakjan-Kantorovich operators, the Korovkin-type approximation theorem, modulus of continuity, Lipschitz class functionals, Voronovskaya type theorem

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Turkish Journal of Mathematics

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33

Issue

2

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