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Convergence of modified Szász-Mirakyan-Durrmeyer operators depending on certain parameters.

Authors :
Qasim, Mohd
Mansoori, Mohd Shanawaz
Khan, Asif
Abbas, Zaheer
Mursaleen, Mohammad
Source :
Mathematical Foundations of Computing. Aug2022, Vol. 5 Issue 3, p187-196. 10p.
Publication Year :
2022

Abstract

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 τ τ with extra parameters μ μ and λ λ. Depending on the selection of μ μ and λ λ , 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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
25778838
Volume :
5
Issue :
3
Database :
Academic Search Index
Journal :
Mathematical Foundations of Computing
Publication Type :
Academic Journal
Accession number :
158802954
Full Text :
https://doi.org/10.3934/mfc.2021027