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Convergence of modified Szász-Mirakyan-Durrmeyer operators depending on certain parameters.
- 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]
- Subjects :
- *GENERALIZATION
*MOTIVATION (Psychology)
Subjects
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