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The Bézier variant of Kantorovich type <italic>λ</italic>-Bernstein operators.
- Source :
-
Journal of Inequalities & Applications . 4/18/2018, Vol. 2018 Issue 1, p1-1. 1p. - Publication Year :
- 2018
-
Abstract
- In this paper, we introduce the Bézier variant of Kantorovich type <italic>λ</italic>-Bernstein operators with parameter λ∈[−1,1]<inline-graphic></inline-graphic>. We establish a global approximation theorem in terms of second order modulus of continuity and a direct approximation theorem by means of the Ditzian-Totik modulus of smoothness. Finally, we combine the Bojanic-Cheng decomposition method with some analysis techniques to derive an asymptotic estimate on the rate of convergence for some absolutely continuous functions. [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 :
- 129155323
- Full Text :
- https://doi.org/10.1186/s13660-018-1688-9