Weighted approximation by q-Ibragimov-Gadjiev operators
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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PDFISSN: 1331-0623 (Print), 1848-8013 (Online)