On Approximation Properties of Baskakov-Schurer-Szasz Operators Preserving Exponential Functions
Yükleniyor...
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis, Fac Sci Math
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The goal of this paper is to construct a general class of operators which has known BaskakovSchurer-Szasz that preserving constant and e(2ax), 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-Szasz operators and the recent sequence, too.
Açıklama
Bodur, Murat/0000-0002-9195-9043
Anahtar Kelimeler
Baskakov-Schurer-Szasz operators, exponential functions, quantitative results, weighted approximation
Kaynak
Filomat
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
32
Sayı
15
Künye
Yilmaz, O. G., Bodur, M., & ARAL, A., (2018). On Approximation Properties of Baskakov-Schurer-Szasz Operators Preserving Exponential Functions. FILOMAT , vol.32, no.15, 5433-5440.