Journal of Applied Mathematics

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

Qiu Lin

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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.

Article information

Source
J. Appl. Math., Volume 2014 (2014), Article ID 569450, 9 pages.

Dates
First available in Project Euclid: 2 March 2015

Permanent link to this document
https://projecteuclid.org/euclid.jam/1425306058

Digital Object Identifier
doi:10.1155/2014/569450

Mathematical Reviews number (MathSciNet)
MR3280899

Zentralblatt MATH identifier
1372.41002

Citation

Lin, Qiu. Statistical Approximation of $q$ -Bernstein-Schurer-Stancu-Kantorovich Operators. J. Appl. Math. 2014 (2014), Article ID 569450, 9 pages. doi:10.1155/2014/569450. https://projecteuclid.org/euclid.jam/1425306058


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