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Weighted Equi-Statistical Convergence of the Korovkin Type Approximation Theorems

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Abstract

In this paper, the concepts of weighted statistical pointwise convergence, weighted statistical uniform convergence and weighted equi-statistical convergence are introduced. Then, using weighted equi-statistical convergence, a general Korovkin type theorem is obtained. Also, an example such that our new approximation result works but its classical case does not work is constructed.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Arts and Sciences, Sinop University, 57000, Sinop, Turkey

    Sevda Akdağ

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  1. Sevda Akdağ
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Akdağ, S. Weighted Equi-Statistical Convergence of the Korovkin Type Approximation Theorems. Results Math 72, 1073–1085 (2017). https://doi.org/10.1007/s00025-016-0591-2

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  • DOI: https://doi.org/10.1007/s00025-016-0591-2

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