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Rates of Power Series Statistical Convergence of Positive Linear Operators and Power Series Statistical Convergence of \(\boldsymbol{q}\)-Meyer–Köni̇g and Zeller Operators

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Abstract

In this paper we compute the rates of convergence of power series statistical convergence of sequences of positive linear operators. We also investigate some Korovkin type approximation properties of the \(q\)-Meyer–König and Zeller operators and Durrmeyer variant of the \(q\)-Meyer–König and Zeller operators via power series statistical convergence. We show that the approximation results obtained in this paper expand some previous approximation results of the corresponding operators.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Selcuk University, 42003, Konya, Selcuklu, Turkey

    Dilek Söylemez

  2. Department of Mathematics, Faculty of Science, Ankara University, 06100, Ankara, Turkey

    Mehmet Ünver

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  1. Dilek Söylemez
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  2. Mehmet Ünver
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Correspondence to Dilek Söylemez or Mehmet Ünver.

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(Submitted by A. I. Volodin)

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Söylemez, D., Ünver, M. Rates of Power Series Statistical Convergence of Positive Linear Operators and Power Series Statistical Convergence of \(\boldsymbol{q}\)-Meyer–Köni̇g and Zeller Operators. Lobachevskii J Math 42, 426–434 (2021). https://doi.org/10.1134/S1995080221020189

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  • DOI: https://doi.org/10.1134/S1995080221020189

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