Approximation properties of q-Baskakov-Durrmeyer-Stancu operators
نویسندگان
چکیده
منابع مشابه
Approximation 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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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...
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In the present article, we propose the $(p,q)$ variant of genuine Baskakov Durrmeyer operators. We obtain moments and establish some direct results, which include weighted approximation and results in terms of modulus of continuity of second order.
متن کاملSome Approximation Properties of Baskakov-Szász- Stancu Operators
Vishnu Narayan Mishra1,2, M. Mursaleen 3,∗ and Preeti Sharma 1 1 Department of Applied Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology, Ichchhanath Mahadev Dumas Road, Surat, Surat-395 007 (Gujarat), India 2 L.1627 Awadh Puri Colony Beniganj, Phase -III, Opposite Industrial Training Institute (I.T.I.), Ayodhya Main Road, Faizabad-224 001, (Uttar Pradesh), India 3...
متن کاملOn a new sequence of q -Baskakov-Szasz-Stancu operators
This paper deals with Stancu type generalization of q -analogue of Baskakov-Szasz operators introducing a new sequence of positive q -integral operators. We show that it is a weighted approximation process in the polynomial space of continuous functions defined on [0,∞). An estimate for the rate of convergence and weighted approximation properties are also obtained for these operators. MSC: 41A...
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ژورنال
عنوان ژورنال: Mathematical Sciences
سال: 2013
ISSN: 2251-7456
DOI: 10.1186/2251-7456-7-38