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Approximation by Generalized Lupaş Operators Based on q-Integers.
- Source :
-
Mathematics (2227-7390) . Jan2020, Vol. 8 Issue 1, p68-68. 1p. - Publication Year :
- 2020
-
Abstract
- The purpose of this paper is to introduce q-analogues of generalized Lupaş operators, whose construction depends on a continuously differentiable, increasing, and unbounded function ρ. Depending on the selection of q, these operators provide more flexibility in approximation and the convergence is at least as fast as the generalized Lupaş operators, while retaining their approximation properties. For these operators, we give weighted approximations, Voronovskaja-type theorems, and quantitative estimates for the local approximation. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ESTIMATES
*CONSTRUCTION
*DIFFERENTIABLE dynamical systems
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 8
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 141411834
- Full Text :
- https://doi.org/10.3390/math8010068