Approximation theorems for q-Bernstein-Kantorovich operators
نویسندگان
چکیده
منابع مشابه
Statistical approximation of modified Schurer-type q-Bernstein Kantorovich operators
New modified Schurer-type q-Bernstein Kantorovich operators are introduced. The local theorem and statistical Korovkin-type approximation properties of these operators are investigated. Furthermore, the rate of approximation is examined in terms of the modulus of continuity and the elements of Lipschitz class functions.
متن کاملApproximation of Schurer type q-Bernstein-Kantorovich operators
*Correspondence: [email protected] 1Department of Mathematics and Computer Science, Wuyi University, Wuyishan, 354300, China Full list of author information is available at the end of the article Abstract 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 ...
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The order of simultaneous approximation and Voronovskaja-type results with quantitative estimate for complex q-Kantorovich polynomials q > 0 attached to analytic functions on compact disks are obtained. In particular, it is proved that for functions analytic in {z ∈ C : |z| < R}, R > q, the rate of approximation by the q-Kantorovich operators q > 1 is of order q−n versus 1/n for the classical K...
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ژورنال
عنوان ژورنال: Filomat
سال: 2013
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil1304721m