Approximation properties of q-Kantorovich-Stancu operator

被引：0
|
作者：
Shin Min Kang
Ana Maria Acu
Arif Rafiq
Young Chel Kwun
机构：
[1] Gyeongsang National University,Department of Mathematics and RINS
[2] Lucian Blaga University of Sibiu,Department of Mathematics and Informatics
[3] Lahore Leads University,Department of Mathematics
[4] Dong-A University,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2015卷
关键词：
41A10; 41A25; 41A36; -Stancu-Kantorovich operators; modulus of continuity; rate of convergence; Voronovskaja theorem;
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摘要：
In this paper we study some properties of Kantorovich-type generalizations of the q-Stancu operators. We obtain some approximation properties for these operators, estimating the rate of convergence by using the first and second modulus of continuity. Also, we investigate the statistical approximation properties of the q-Kantorovich-Stancu operators using the Korovkin-type statistical approximation theorem.
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