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Approximation by modified q-Gamma type operators via A-statistical convergence and power series method.
- Source :
- Linear & Multilinear Algebra; Dec2022, Vol. 70 Issue 21, p6548-6567, 20p
- Publication Year :
- 2022
-
Abstract
- In this article, we introduce a q-analogue of the operators defined by Usta and Betus (Linear Multilinear Algebra, DOI: 10.1080/03081087.2020.1791033 (2020)) and find a general expression of moments for the q- operators. Next, we study the approximation properties of these operators in a weighted space via A-statistical method and the power series method. Later, we define a k-th order generalization of the q- operators by using the approach of Kirov and Popova (Math. Balk. 7, 149–162 (1993)) and estimate the error in the approximation for the C k functions in a Lipschitz class. We modify these operators so that they reproduce the constant as well as a monomial and provide better approximation. Finally, we introduce some graphical results to validate our theoretical claims. [ABSTRACT FROM AUTHOR]
- Subjects :
- MULTILINEAR algebra
APPROXIMATION error
POWER series
MATHEMATICS
GENERALIZATION
Subjects
Details
- Language :
- English
- ISSN :
- 03081087
- Volume :
- 70
- Issue :
- 21
- Database :
- Complementary Index
- Journal :
- Linear & Multilinear Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 162841255
- Full Text :
- https://doi.org/10.1080/03081087.2021.1960260