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

Esma Yıldız Özkan and Gözde Aksoy
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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

Mathematics, 2022, vol. 10, issue 9, 1-13

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.

Keywords: linear positive operator; rate of convergence; Bernstein-type rational function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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