Weighted approximation by q-Ibragimov-Gadjiev operators

Serap Herdem; Ibrahim Buyukyazıcı

Vol. 25 No. 2 (2020)

Regular Articles

Weighted approximation by q-Ibragimov-Gadjiev operators

Published 2020-09-23

Serap Herdem
Ibrahim Buyukyazıcı

Serap Herdem
Piri Reis University

Ibrahim Buyukyazıcı
Ankara University

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Abstract

The present paper deals with a q-generalization of Ibragimov-Gadjiev operators
which were constructed by Ibragimov and Gadjiev in 1970. We studied convergence properties on the interval [0;infinity) and obtain rate of convergence in terms of weighted modulus of continuity. We also give some representation formulas of the operators using q-derivatives.

Keywords

q-Ibragimov-Gadjiev operators, weighted approximation, q-integers, q-derivatives

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Supplementary File(s)

3448-Herdem

Author Biography

Serap Herdem

Department of Mechanical Engineering, Lecturer

Ibrahim Buyukyazıcı

Department of Mathematics, Professor