A Korovkin type approximation theorem and its applications (Q1725147)

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scientific article; zbMATH DE number 7023211
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A Korovkin type approximation theorem and its applications
scientific article; zbMATH DE number 7023211

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    A Korovkin type approximation theorem and its applications (English)
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    14 February 2019
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    Summary: We present a Korovkin type approximation theorem for a sequence of positive linear operators defined on the space of all real valued continuous and periodic functions via \(A\)-statistical approximation, for the rate of the third order Ditzian-Totik modulus of smoothness. Finally, we obtain an interleave between Riesz's representation theory and Lebesgue-Stieltjes integral-\(i\), for Riesz's functional supremum formula via statistical limit.
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