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

Esma Yıldız Özkan
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Esma Yıldız Özkan: Department of Mathematics, Faculty of Science, Gazi University, 06500 Ankara, Turkey

Mathematics, 2022, vol. 10, issue 12, 1-10

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.

Keywords: approximation of positive operators; rate of convergence; Kantorovich-type operator; rational function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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