On (p,q)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$(p,q)$\end{document}-Szász-Mirakyan operators and their approximation properties

被引：0

作者：

M Mursaleen

AAH Al-Abied

Abdullah Alotaibi

机构：

[1] Aligarh Muslim University,Department of Mathematics

[2] King Abdulaziz University,Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science

来源：

Journal of Inequalities and Applications | / 2017卷 / 1期

关键词：

-integers; -integers; -Szász-Mirakyan operators; -Szász-Mirakyan operators; weighted approximation; Voronovskaya theorem; 41A10; 41A25; 41A36;

D O I：

10.1186/s13660-017-1467-z

中图分类号：

学科分类号：

摘要：

In the present paper, we introduce a new modification of Szász-Mirakyan operators based on (p,q)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$(p, q)$\end{document}-integers and investigate their approximation properties. We obtain weighted approximation and Voronovskaya-type theorem for new operators.

引用

共 24 条

[21] Approximation of functions by Stancu variant of Bernstein–Kantorovich operators based on shape parameter α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\varvec{\alpha }}$$\end{document}
S. A. Mohiuddine
Faruk Özger
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2020, 114 (2):
[22] Quadratic Forms over \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{Z}}$$\end{document} from Diophantus to the 290 Theorem
Alexander J. Hahn
Advances in Applied Clifford Algebras, 2008, 18 (3-4) : 665 - 676
[23] Modification of Exponential Type Operators Preserving Exponential Functions Connected with x3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$x^3$$\end{document}
Vijay Gupta
Ali Aral
Carmen-Violeta Muraru
Mediterranean Journal of Mathematics, 2021, 18 (5)
[24] A Global Approximation Result by Bert Alan Taylor and the Strong Openness Conjecture in Cn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {C}}^n$$\end{document}
John Erik Fornæss
Jujie Wu
The Journal of Geometric Analysis, 2018, 28 (1) : 1 - 12

← 1 2 3 →