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
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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
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.
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