On Approximation Properties of Baskakov-Schurer-Szasz Operators Preserving Exponential Functions

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Tarih

2018

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.