Approximation by Baskakov-Szász-Stancu Operators Preserving Exponential Functions

Authors : Murat BODUR, Övgü GÜREL YILMAZ, Ali ARAL

Pages : 1-8

Doi:10.33205/cma.450708

View : 21 | Download : 4

Publication Date : 2018-09-15

Article Type : Research Paper

Abstract :The purpose of this paper is to construct a general class of operators which has known Baskakov-Szá sz-Stancu that preserving constant and $e^{2ax}, a>0$ functions. We scrutinize a uniform convergence result and analyze the asymptotic behavior of our operators, as well. Finally, we discuss the convergence of corresponding sequences in exponential weighted spaces and make a comparison about which one approximates better between classical Baskakov-Szá sz-Stancu operators and the recent operators.
Keywords : Exponential functions, Quantitative results, Weighted approximation, Baskakov Szász Stancu operators, Weighted approximation