Some bivariate Durrmeyer operators based on q-integers
نویسندگان
چکیده
منابع مشابه
SOME BIVARIATE DURRMEYER OPERATORS BASED ON q–INTEGERS
In the present paper we introduce a q -analogue of the bivariate Durrmeyer operators. A convergence theorem for these operators is established and the rate of convergence in terms of modulus of continuity is determined. Also, a Voronovskaja type theorem has been investigated for these operators. Mathematics subject classification (2010): 41A10, 41A36.
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In the present paper we introduce the GBS (Generalized Boolean Sum) operators of Durrmeyer type based on q -integers and the approximation of B-continuous functions using the above operators is studied. In addition, a uniform convergence theorem is established and the degree of approximation in terms of mixed modulus of continuity is evaluated. The study contains in the last section numerical c...
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متن کاملApproximation Properties of Bivariate Generalization of Bleimann, Butzer and Hahn Operators Based on the q-Integers
They investigated pointwise convergence properties of (1) in a compact sub-interval of [0,∞). Then Gadjiev and Çakar [2] obtained uniform convergence of (1) on semi-axis [0,∞) on some subspace of bounded and continuous functions by using the test functions ( x 1+x) ν , ν = 0, 1, 2. In 1996 q-based generalization of the classical Bernstein polynomials were introduced by G. M. Phillips [3]. He ha...
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ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2017
ISSN: 1846-579X
DOI: 10.7153/jmi-11-06