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Approximation degree of Durrmeyer-Bézier type operators.
- Source :
-
Journal of Inequalities & Applications . 2/22/2018, Vol. 2018 Issue 1, p1-17. 17p. - Publication Year :
- 2018
-
Abstract
- Recently, a mixed hybrid operator, generalizing the well-known Phillips operators and Baskakov–Szász type operators, was introduced. In this paper, we study Bézier variant of these new operators. We investigate the degree of approximation of these operators by means of the Lipschitz class function, the modulus of continuity, and a weighted space. We study a direct approximation theorem by means of the unified Ditzian–Totik modulus of smoothness. Furthermore, the rate of convergence for functions having derivatives of bounded variation is discussed. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10255834
- Volume :
- 2018
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Inequalities & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 128177372
- Full Text :
- https://doi.org/10.1186/s13660-018-1622-1