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Construction of a new family of Bernstein-Kantorovich operators
(Wiley, 2017) Mohiuddine, S. A.; Acar, Tuncer; Alotaibi, Abdullah
In the present paper, we construct a new sequence of Bernstein-Kantorovich operators depending on a parameter alpha. 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.