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Convergence of modified Szász-Mirakyan-Durrmeyer operators depending on certain parameters
Author(s) -
Mohd Qasim,
M.S. Mansoori,
Asif Khan,
Zaheer Abbas,
M. Mursaleen
Publication year - 2022
Publication title -
mathematical foundations of computing
Language(s) - English
Resource type - Journals
ISSN - 2577-8838
DOI - 10.3934/mfc.2021027
Subject(s) - mathematics , differentiable function , type (biology) , combinatorics , arithmetic , algebra over a field , pure mathematics , ecology , biology
Motivated by certain generalizations, in this paper we consider a new analogue of modified Szá sz-Mirakyan-Durrmeyer operators whose construction depends on a continuously differentiable, increasing and unbounded function \begin{document}$ \tau $\end{document} with extra parameters \begin{document}$ \mu $\end{document} and \begin{document}$ \lambda $\end{document} . Depending on the selection of \begin{document}$ \mu $\end{document} and \begin{document}$ \lambda $\end{document} , these operators are more flexible than the modified Szá sz-Mirakyan-Durrmeyer operators while retaining their approximation properties. For these operators we give weighted approximation, Voronovskaya type theorem and quantitative estimates for the local approximation.

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