Open AccessOn approximation properties of Baskakov-Schurer-Szász operators preserving exponential functions
Author(s) -
Övgü Gürel Yılmaz,
Murat Bodur,
Ali Aral
Publication year - 2018
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1815433y
Subject(s) - mathematics , baskakov operator , operator (biology) , exponential function , convergence (economics) , sequence (biology) , moment (physics) , constant coefficients , constant (computer programming) , class (philosophy) , function (biology) , rate of convergence , mathematical analysis , operator theory , pure mathematics , fourier integral operator , microlocal analysis , channel (broadcasting) , repressor , artificial intelligence , economic growth , chemistry , computer science , engineering , genetics , biology , biochemistry , classical mechanics , evolutionary biology , transcription factor , programming language , physics , electrical engineering , economics , gene
The goal of this paper is to construct a general class of operators which has known Baskakov-Schurer-Sz?sz that preserving constant and e2ax, a > 0 functions. Also, we demonstrate the fact that for these operators, moments can be obtained using the concept of moment generating function. Furthermore, we investigate a uniform convergence result and a quantitative estimate in consideration of given operator, 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-Schurer-Sz?sz operators and the recent sequence, too.