SOME APPROXIMATION PROPERTIES OF KANTOROVICH VARIANT OF CHLODOWSKY OPERATORS BASED ON q INTEGER

Authors : Ali KARAISA, Ali ARAL

Pages : 97-120

Doi:10.1501/Commua1_0000000763

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Publication Date : 2016-08-01

Article Type : Research Paper

Abstract :In this paper, we introduce two diğerent Kantorovich type generalization of the q Chlodowsky operators. For the first operators we give some weighted approximation theorems and a Voronovskaja type theorem. Also, we present the local approximation properties and the order of convergence forunbounded functions of these operators . For second operators, we obtain aweighted statistical approximation property
Keywords : q Chlodowsky operators, modulus of continuity, local approximation, Peetres K functional, statistical convergence