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A Korovkin type approximation theorem and its applications. (English) Zbl 1474.41045

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.

MSC:

41A36 Approximation by positive operators
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References:

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