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Some approximation properties of q-Baskakov-Durrmeyer operators
Authors:Vijay Gupta  Ali Aral
Institution:a School of Applied Sciences, Netaji Subhas Institute of Technology, Sector 3 Dwarka, New Delhi 110078, India
b K?r?kkale University, Faculty of Science and Arts, Department of Mathematics, Yah?ihan, KIRIKKALE, Turkey
Abstract:Very recently Aral and Gupta 1] introduced q analogue of Baskakov-Durrmeyer operators. In the present paper we extend the studies, we establish the recurrence relations for the central moments and obtain an asymptotic formula. Also in the end we propose modified q-Baskakov-Durrmeyer operators, from which one can obtain better approximation results over compact interval.
Keywords:q-Beta function  q-Baskakov-Durrmeyer operators  q -integers  Central moments
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