Nonlinear Approximation by $q$-Favard-Sz{\'a}sz-Mirakjan Operators of Max-Product Kind

Author:

KARAHAN Döne1ORCID,ACAR Ecem2ORCID

Affiliation:

1. HARRAN ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ

2. HARRAN UNIVERSITY

Abstract

In this study, nonlinear $q$-Favard-Sz{\'a}sz-Mirakjan operators of max-product kind are defined and approximation properties of these operators are investigated. Classical approximation and $A$-statistical approximation theorems are given.

Publisher

Communications in Advanced Mathematical Sciences

Subject

General Medicine

Reference18 articles.

1. [1] A. Lupas, A q-analogue of the Bernstein operator, in Seminar on Numerical and Statistical Calculus, University of Cluj-Napoca, 9 (1987), 85–92.

2. [2] G.M. Philips, Bernstein polynomials based on the q-integers, Ann. Numer. Math., 4 (1997), 511-518.

3. [3] S. Ostrovska, q-Bernstein polynomials and their iterates, J. Approximation Theory, 123(2) (2003), 232-255.

4. [4] S. Ostrovska, On the Lupas q-analogue of the Bernstein operator, Rocky Mountain. J. Math., 36(5) (1997), 1615-1629.

5. [5] H. Oruc, N. Tuncer, On the convergence and iterates of q-Bernstein polynomials, J. Approx. Theory, 117 (2002), 301-313.

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