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A New Kantorovich-Type Rational Operator and Inequalities for Its Approximation

Author

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  • Esma Yıldız Özkan

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

Abstract

We introduce a new Kantorovich-type rational operator. We investigate inequalities estimating its rates of convergence in view of the modulus of continuity and the Lipschitz-type functions. Moreover, we present graphical comparisons exemplifying concretely its better approximation for a certain function. The results of the paper are crucial by means of possessing at least better approximation results than an existing Kantorovich-type rational function.

Suggested Citation

  • Esma Yıldız Özkan, 2022. "A New Kantorovich-Type Rational Operator and Inequalities for Its Approximation," Mathematics, MDPI, vol. 10(12), pages 1-10, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:12:p:1982-:d:834288
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