منابع مشابه
Some approximation properties of Baskakov-Durrmeyer-Stancu operators
Keywords: Baskakov–Durrmeyer operator Pointwise convergence Asymptotic formula q-Analogue a b s t r a c t In this paper, we are dealing with a new type of Baskakov–Durrmeyer–Stancu (BDS) operators D ða;bÞ n ðf ; xÞ defined by (1.4). First we estimate moments of these operators and also obtain the recurrence relations for the moments. We estimate some approximation properties and asymptotic form...
متن کاملApproximation properties of q-Baskakov-Durrmeyer-Stancu operators
Purpose: The purpose of this paper is to introduce and study the BaskakovDurrmeyerStancu operators based on q-integers. Methods: First we use property of q-calculus to estimate moments of these operators. Also study some approximation properties, asymptotic formula including q-derivative and point-wise estimation for the operators L n,q . Results: We studied better error estimations for these o...
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In the present paper, we introduce a kind of Durrmeyer variant of Bernstein-Stancu operators, and we obtain the direct and converse results of approximation by the operators.
متن کاملOn certain GBS-Durrmeyer operators based on q -integers
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...
متن کاملHypergeometric Representation for Baskakov-durrmeyer-stancu Type Operators (communicated by Hüseyin Bor)
Khan [4] and Mishra [5] have proved some results dealing with the degree of approximation of functions in Lpspaces using different types of operators. BaskakovDurrmeyer operators were first considered by Sahai-Prasad [8] in 1985 . Sinha et al. [9] improved and corrected the results of [8]. In 2005, Finta [1], introduced a new type of Baskakov-Durrmeyer operator by taking the weight function of ...
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ژورنال
عنوان ژورنال: Miskolc Mathematical Notes
سال: 2008
ISSN: 1787-2405,1787-2413
DOI: 10.18514/mmn.2008.133