A Korovkin Type Approximation Theorem and Its Applications

Malik Saad Al-Muhja

Abstract and Applied Analysis, 2014, vol. 2014, 1-6

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:859696

DOI: 10.1155/2014/859696

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