- Constructive Mathematical Analysis
- Vol: 1 Issue: 1
- Approximation by Baskakov-Szász-Stancu Operators Preserving Exponential Functions
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 : 13 | Download : 8
Publication Date : 2018-09-15
Article Type : Research
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