منابع مشابه
Approximation properties of Beta-Szasz-Stancu operators
The application of q-calculus in operator theory is an active area of research in the last two decades. Several new q-operators were introduced and their approximation behavior was discussed. In the present paper, we study the Stancu type generalization of Beta-Szasz type operators for their q-analogues. We obtain moments and convergence results in terms of higher order modulus of continuity. A...
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In this paper, $(p,q)$-Lupas Bernstein Stancu operators are constructed. Statistical as well as other approximation properties of $(p,q)$-Lupac{s} Stancu operators are studied. Rate of statistical convergence by means of modulus of continuity and Lipschitz type maximal functions has been investigated.
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In this paper we define the modified q-Stancu-Beta operators and study the weighted statistical approximation by these operators with the help of the Korovkin type approximation theorem. We also establish the rates of statistical convergence by means of the modulus of continuity and the Lipschitz type maximal function. Our results show that rates of convergence of our operators are at least as ...
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Bǎrbosu and Muraru (2015) introduced the bivariate generalization of the q -Bernstein–Schurer–Stancu operators and constructed a GBS operator of q -Bernstein–Schurer–Stancu type. The concern of this paper is to obtain the rate of convergence in terms of the partial and complete modulus of continuity and the degree of approximation by means of Lipschitz-type class for the bivariate operators. In...
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ژورنال
عنوان ژورنال: Ukrainian Mathematical Journal
سال: 2012
ISSN: 0041-5995,1573-9376
DOI: 10.1007/s11253-012-0614-4