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Approximation by Modified Meyer–König and Zeller Operators via Power Series Summability Method

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Abstract

In this paper, we study the Korovkin-type theorem for modified Meyer–König and Zeller operators via A-statistical convergence and power series summability method. The rate of convergence for this new summability methods is also obtained with the help of the modulus of continuity. Further, we establish Voronovskaya-type and Grüss–Voronovskaya-type theorems for A-statistical convergence.

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Authors and Affiliations

  1. Department of Mathematics and Computer Sciences, University of Prishtina, Avenue Mother Teresa, No-5, Prishtine, 10000, Kosova

    Naim L. Braha

  2. Department of Mathematics, University of Haifa, 3498838, Haifa, Israel

    Toufik Mansour

  3. Department of Medical Research, China Medical University Hospital, China Medical University (Taiwan), Taichung, Taiwan

    M. Mursaleen

  4. Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India

    M. Mursaleen

Authors
  1. Naim L. Braha
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  2. Toufik Mansour
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  3. M. Mursaleen
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Correspondence to M. Mursaleen.

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Communicated by Rosihan M. Ali.

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Braha, N.L., Mansour, T. & Mursaleen, M. Approximation by Modified Meyer–König and Zeller Operators via Power Series Summability Method. Bull. Malays. Math. Sci. Soc. 44, 2005–2019 (2021). https://doi.org/10.1007/s40840-020-01045-z

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  • DOI: https://doi.org/10.1007/s40840-020-01045-z

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