A Korovkin Type Approximation Theorem and Its Applications

Malik Saad Al-Muhja

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: 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.

Date: 2014
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https://doi.org/10.1155/2014/859696

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:859696

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