ABOUT THE BIVARIATE OPERATORS OF DURRMEYER-TYPE
نویسندگان
چکیده
منابع مشابه
About the Bivariate Operators of Kantorovich Type
The aim of this paper is to study the convergence and approximation properties of the bivariate operators and GBS operators of Kantorovich type.
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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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Recently, a mixed hybrid operator, generalizing the well-known Phillips operators and Baskakov-Szász type operators, was introduced. In this paper, we study Bézier variant of these new operators. We investigate the degree of approximation of these operators by means of the Lipschitz class function, the modulus of continuity, and a weighted space. We study a direct approximation theorem by means...
متن کاملOn certain q-Durrmeyer type operators
Deo [5] introduced n-th Durrmeyer operators defined for functions integrable in some interval I. There are gaps and mistakes in some of his lemmas and theorems. Further, in his paper [4] he did not give results on simultaneous approximation as the title reveals. The purpose of this paper is to correct those mistakes. AMS subject classifications: 41A25, 41A30
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ژورنال
عنوان ژورنال: Demonstratio Mathematica
سال: 2009
ISSN: 2391-4661
DOI: 10.1515/dema-2009-0110