WEIGHTED APPROXIMATION PROPERTIES OF STANCU TYPE MODIFICATION OFq-SZÁSZ-DURRMEYER OPERATORS

Authors : Gürhan IÇÖZ, N. MOHAPATRA R.

Pages : 87-104

Doi:10.1501/Commua1_0000000746

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Publication Date : 2016-02-01

Article Type : Research Paper

Abstract :In this paper, we are dealing with q-Sz·sz-Mirakyan-DurrmeyerStancu operators. Firstly, we establish moments of these operators and estimate convergence results. We discuss a Voronovska ja type result for the operators. We shall give the weighted approximation properties of these operators. Furthermore, we study the weighted statistical convergence for the operators.
Keywords : q Durrmeyer operators, q Jackson integral, q Beta functions