Murat Bodur, Övgü Gürel Yılmaz, A. Aral
2018.9.15Constructive Mathematical Analysis
tlooto Summary
A general class of operators which has known Baskakov-Sza sz-Stancu that preserving constant and $e^{2ax}, a>0$ functions is constructed.
Abstract
The purpose of this paper is to construct a general class of operators which has known Baskakov-Sza 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-Sza sz-Stancu operators and the recent operators.
Citation format
BODUR, Murat; YILMAZ, Övgü Gürel; ARAL, A. Approximation by baskakov-szász-stancu operators preserving exponential functions. Constructive Mathematical Analysis, 2018.