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A new construction of Lupaş operators and its approximation properties.
- Source :
-
Advances in Difference Equations . 1/15/2021, Vol. 2021 Issue 1, p1-14. 14p. - Publication Year :
- 2021
-
Abstract
- The aim of this paper is to study a new generalization of Lupaş-type operators whose construction depends on a real-valued function ρ by using two sequences u m and v m of functions. We prove that the new operators provide better weighted uniform approximation over [ 0 , ∞) . In terms of weighted moduli of smoothness, we obtain degrees of approximation associated with the function ρ. Also, we prove Voronovskaya-type theorem, quantitative estimates for the local approximation. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CONSTRUCTION
*POSITIVE operators
*GENERALIZATION
*SMOOTHNESS of functions
Subjects
Details
- Language :
- English
- ISSN :
- 16871839
- Volume :
- 2021
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Advances in Difference Equations
- Publication Type :
- Academic Journal
- Accession number :
- 148112963
- Full Text :
- https://doi.org/10.1186/s13662-020-03143-5