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1. APPROXIMATION BY q-DURRMEYER - STANCU POLYNOMIALS IN COMPACT DISKS IN THE CASE OF q > 1.

Author

KARA, M.

Subjects
*POLYNOMIALS, *APPROXIMATION theory, *MATHEMATICS, *KANTOROVICH method, *FUNCTIONAL analysis
Abstract

In this paper, the order of simultaneous approximation and Voronovskaja-type results with quantitative estimate for complex q-Kantorovich polynomials (q > 0) attached to analytic functions on compact disks are obtained. In particular, it is proved that for functions analytic in {z ∊ C : ∣z∣ < R}, R > q, the rate of approximation by the q- Durrmeyer - Stancu operators (q > 1) is of order q-n versus 1/n for the classical q-Durrmeyer - Stancu operators. [ABSTRACT FROM AUTHOR]

Published
2017
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