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Approximation by Tensor-Product Kind Bivariate Operator of a New Generalization of Bernstein-Type Rational Functions and Its GBS Operator

Author

Listed:
  • Esma Yıldız Özkan

    (Department of Mathematics, Faculty of Science, Gazi University, 06500 Ankara, Turkey)

  • Gözde Aksoy

    (Department of Mathematics, Graduate School of Natural and Applied Sciences, Gazi University, 06500 Ankara, Turkey)

Abstract

We introduce a tensor-product kind bivariate operator of a new generalization of Bernstein-type rational functions and its GBS (generalized Boolean sum) operator, and we investigate their approximation properties by obtaining their rates of convergence. Moreover, we present some graphical comparisons visualizing the convergence of tensor-product kind bivariate operator and its GBS operator.

Suggested Citation

  • Esma Yıldız Özkan & Gözde Aksoy, 2022. "Approximation by Tensor-Product Kind Bivariate Operator of a New Generalization of Bernstein-Type Rational Functions and Its GBS Operator," Mathematics, MDPI, vol. 10(9), pages 1-13, April.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:9:p:1418-:d:800179
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    Cited by:

    1. Noor Alam & Waseem Ahmad Khan & Cheon Seoung Ryoo, 2022. "A Note on Bell-Based Apostol-Type Frobenius-Euler Polynomials of Complex Variable with Its Certain Applications," Mathematics, MDPI, vol. 10(12), pages 1-26, June.

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