Construction of a new family of Bernstein‐Kantorovich operators
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- 17 August 2017
- journal article
- research article
- Published by Wiley in Mathematical Methods in the Applied Sciences
- Vol. 40 (18) , 7749-7759
Abstract
In the present paper, we construct a new sequence of Bernstein‐Kantorovich operators depending on a parameter α. The uniform convergence of the operators and rate of convergence in local and global sense in terms of first‐ and second‐order modulus of continuity are studied. Some graphs and numerical results presenting the advantages of our construction are obtained. The last section is devoted to bivariate generalization of Bernstein‐Kantorovich operators and their approximation behaviors.Keywords
Funding Information
- King Abdulaziz University, Jeddah, Saudi Arabia
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