Approximation by nonlinear Meyer-König and Zeller operators based on q-integers

Author:

Acar Ecem1,Güller Özge Özalp2,Serenbay Sevilay Kırcı3

Affiliation:

1. Harran University , Faculty of Education, Department of Mathematics and Science Education , Şanlýurfa , , Türkiye

2. Ankara University , Faculty of Science, Department of Mathematics , Ankara , , Türkiye

3. Harran University , Faculty of Arts and Sciences, Department of Mathematics , Şanlýurfa , , Türkiye

Abstract

Abstract In this paper, we introduce the nonlinear Meyer-König and Zeller operators based on q-integers. Firstly, we describe the q-Meyer-König and Zeller operators of max-product type. Then, we give an error estimation for the q-Meyer-König and Zeller operators of max-product kind by using a modulus of continuity.

Publisher

Walter de Gruyter GmbH

Reference32 articles.

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2. Gal S.G., Shape-Preserving Approximation by Real and Complex Polynomials, Birkhäuser, Boston, 2008.

3. Lupaş A., A q-analogue of the Bernstein operator, Seminar on Numerical and Statistical Calculus, University of Cluj-Napoca, 9, 85–92, 1987.

4. Phillips G.M., Bernstein polynomials based on the q-integers, Annals of Numerical Mathematics, 4(1–4), 511–518, 1997.

5. Phillips G.M., A generalization of the Bernstein polynomials based on the q-integers, The Anziam Journal, 42(1), 79–86, 2000.

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