On approximation process by certain modified Dunkl generalization of Szasz-Beta type operators

被引：2

作者：

Atakut, Cigdem ^{[1
]}

Karateke, Seda ^{[2
]}

Buyukyazici, Ibrahim ^{[1
]}

机构：

[1] Ankara Univ, Fac Sci, Dept Math, Ankara, Turkey

[2] Istanbul Arel Univ, Fac Sci & Letters, Dept Math & Comp Sci, Istanbul, Turkey

来源：

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2019年 / 19卷 / 01期

关键词：

Dunkl type generalization; Genuine-Szasz beta operators; modulus of smoothness; Lipschitz functions;

D O I：

10.22436/jmcs.019.01.02

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give a generalization of the Szasz-Beta type operators generated by Dunkl generalization of exponential function and obtain convergence properties of these operators by using Korovkin's theorem and weighted Korovkin-type theorem. We also establish the order of convergence by using the modulus of smoothness and the weighted modulus of continuity.

引用

页码：9 / 18

页数：10

共 50 条

[31] Approximation by a Class of q-Beta Operators of the Second Kind Via the Dunkl-Type Generalization on Weighted Spaces
Srivastava, H. M.
Mursaleen, M.
Nasiruzzaman, Md.
COMPLEX ANALYSIS AND OPERATOR THEORY, 2019, 13 (03) : 1537 - 1556
[32] LOCAL APPROXIMATION BY MODIFIED SZASZ-OPERATORS
GUO, ZR
ZHOU, DX
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 195 (02) : 323 - 334
[33] Approximation by a Class of q-Beta Operators of the Second Kind Via the Dunkl-Type Generalization on Weighted Spaces
H. M. Srivastava
M. Mursaleen
Md. Nasiruzzaman
Complex Analysis and Operator Theory, 2019, 13 : 1537 - 1556
[34] ON APPROXIMATION OF CLASSES OF FUNCTIONS FOR MODIFIED SZASZ OPERATORS
郭顺生
Approximation Theory and Its Applications, 1992, (04) : 61 - 65
[35] Approximation by modified Szasz-Durrmeyer operators
Acar, Tuncer
Ulusoy, Gulsum
PERIODICA MATHEMATICA HUNGARICA, 2016, 72 (01) : 64 - 75
[36] On Approximation Properties of a Stancu Generalization of Szasz–Mirakyan–Bernstein Operators
Tunç T.
Fedakar B.
Journal of Mathematical Sciences, 2022, 260 (5) : 700 - 710
[37] On a generalization of Szasz-Mirakyan operators including Dunkl-App ell polynomials
Yazici, Serdal
Yesildal, Fatma Tasdelen
Cekim, Bayram
TURKISH JOURNAL OF MATHEMATICS, 2022, 46 (06) : 2353 - 2365
[38] Direct estimates for certain Szasz type operators
Gupta, Vijay
Rassias, Themistocles M.
APPLIED MATHEMATICS AND COMPUTATION, 2015, 251 : 469 - 474
[39] q-Szasz-Durrmeyer Type Operators Based on Dunkl Analogue
Rao, Nadeem
Wafi, Abdul
Acu, Ana Maria
COMPLEX ANALYSIS AND OPERATOR THEORY, 2019, 13 (03) : 915 - 934
[40] WEIGHTED APPROXIMATION ON SZASZ-TYPE OPERATORS
Feng Guo (Taizhou University
Analysis in Theory and Applications, 2003, (01) : 47 - 54

← 1 2 3 4 5 →