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On a New Generalization of Bernstein-Type Rational Functions and Its Approximation

Author

Listed:
  • Esma Yıldız Özkan

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

  • Gözde Aksoy

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

Abstract

In this study, we introduce a new generalization of a Bernstein-type rational function possessing better estimates than the classical Bernstein-type rational function. We investigate its error of approximation globally and locally in terms of the first and second modulus of continuity and a class of Lipschitz-type functions. We present graphical comparisons of its approximation with illustrative examples.

Suggested Citation

  • Esma Yıldız Özkan & Gözde Aksoy, 2022. "On a New Generalization of Bernstein-Type Rational Functions and Its Approximation," Mathematics, MDPI, vol. 10(6), pages 1-13, March.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:6:p:973-:d:774154
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