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A Korovkin Type Approximation Theorem and Its Applications

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  • Malik Saad Al-Muhja

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.

Suggested Citation

  • Malik Saad Al-Muhja, 2014. "A Korovkin Type Approximation Theorem and Its Applications," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, April.
    • Handle: RePEc:hin:jnlaaa:859696
    DOI: 10.1155/2014/859696
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