Statistical Approximation of q-Bernstein-Schurer-Stancu-Kantorovich Operators

Qiu Lin

doi:10.1155/2014/569450

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Home > Journals > J. Appl. Math. > Volume 2014 > Article

2014 Statistical Approximation of

q

-Bernstein-Schurer-Stancu-Kantorovich Operators

Qiu Lin

J. Appl. Math. 2014: 1-9 (2014). DOI: 10.1155/2014/569450

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Abstract

We introduce two kinds of Kantorovich-type q-Bernstein-Schurer-Stancu operators. We first estimate moments of q-Bernstein-Schurer-Stancu-Kantorovich operators. We also establish the statistical approximation properties of these operators. Furthermore, we study the rates of statistical convergence of these operators by means of modulus of continuity and the functions of Lipschitz class.

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Qiu Lin. "Statistical Approximation of $q$ -Bernstein-Schurer-Stancu-Kantorovich Operators." J. Appl. Math. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/569450