Approximation of Schurer type q-Bernstein-Kantorovich operators

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作者
Mei-Ying Ren
Xiao-Ming Zeng
机构
[1] Wuyi University,Department of Mathematics and Computer Science
[2] Xiamen University,Department of Mathematics
关键词
Schurer type ; -Bernstein-Kantorovich operators; Korovkin type approximation theorem; rate of convergence; -integers; modulus of continuity; 41A10; 41A25; 41A36;
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摘要
In this paper, a kind of Schurer type q-Bernstein-Kantorovich operators is introduced. The Korovkin type approximation theorem of these operators is investigated. The rates of convergence of these operators are also studied by means of the modulus of continuity and the help of functions of the Lipschitz class. Then, the global approximation property is given for these operators.
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