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- Title
CONSTRUCTION OF THE KANTOROVICH VARIANT OF THE BERNSTEIN-CHLODOVSKY OPERATORS BASED ON PARAMETER α.
- Authors
BO-YONG LIAN; QING-BO CAI
- Abstract
In this article, a new family of kantorovich variant of Chlodovsky operators is introduced. The authors establish some approximation theorems, such as a direct approximation by means of the Ditzian-Totik modulus of smoothness, a global approximation theorem in terms of second order modulus of continuity and so on. Furthermore, a voronovskaja type asymptotic estimate formula is presented. Finally, the rate of convergence for some absolutely continuous functions having a derivative equivalent to a bounded variation function is obtained.
- Subjects
KANTOROVICH method; OPERATOR theory; APPROXIMATION theory; SMOOTHNESS of functions; FUNCTIONS of bounded variation
- Publication
Journal of Mathematical Inequalities, 2022, Vol 16, Issue 2, p797
- ISSN
1846-579X
- Publication type
Article
- DOI
10.7153/jmi-2022-16-55