Convergence of Baskakov Durrmeyer Operators in the Reverse Order of q-Analogue
Sangeeta Garg *
Department of Computer Science, Faculty of Mathematics, Mewar Institute of Management Vasundhara-4C, Ghaziabad, India.
*Author to whom correspondence should be addressed.
Abstract
This research paper is an introduction to a new type of analogue named as Q -analogue for well-known Baskakov Durrmeyer operators. This new type of analogue is considered as reverse order of -analogue. In this paper, we establish the direct approximation theorem, a weighted approximation theorem followed by the estimations of the rate of convergence of these new type of operators for functions of polynomial growth on the interval [0,∞).
Keywords: Baskakov Durrmeyer operators, direct approximation theorem, linear positive operators, rate of convergence, weighted-approximation