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Approximation by Bivariate (p, q)-Bernstein-Kantorovich Operators
Journal article

Approximation by Bivariate (p, q)-Bernstein-Kantorovich Operators

Tuncer Acar, Ali Aral and S. A. Mohiuddine
Iranian journal of science and technology. Transaction A, Science, Vol.42(A2), pp.655-662
01/06/2018

Abstract

Multidisciplinary Sciences Science & Technology Science & Technology - Other Topics
In the present paper, we introduce Kantorovich modifications of (p, q)-Bernstein operators for bivariate functions using a new (p, q)-integral. We first estimate the moments and central moments. We give the uniform convergence of new operators, rate of convergence in terms of modulus of continuity. The approximations behaviours of the operators for functions having continuous partial derivatives and for functions belong to Lipschitz class are investigated as well.

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