Approximation by q Baskakov Beta Operators 被引量：2

Approximation by q Baskakov Beta Operators

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摘要 In the present paper we introduce the q analogue of the Baskakov Beta operators. We establish some direct results in the polynomial weighted space of continuous functions defined on the interval [0, ∞）. Then we obtain point-wise estimate, using the Lipschitz type maximal function. In the present paper we introduce the q analogue of the Baskakov Beta operators. We establish some direct results in the polynomial weighted space of continuous functions defined on the interval [0, ∞）. Then we obtain point-wise estimate, using the Lipschitz type maximal function.

作者 Vijay GUPTA Ali ARAL

机构地区 School of Applied Sciences Department of Mathematics

出处《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2011年第4期569-580,共12页 应用数学学报（英文版）

关键词 q-Baskakov operators q-Baskakov-Beta operators modulus of continuity K-FUNCTIONAL weighted approximation rate of approximation q-Beta integral q-Baskakov operators, q-Baskakov-Beta operators, modulus of continuity, K-functional, weighted approximation, rate of approximation, q-Beta integral

分类号 O177 [理学—基础数学]

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参考文献16

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同被引文献5

1刘生贵,薛银川.一类Baskakov型算子的逼近性质[J].西南民族大学学报（自然科学版）,2006,32(5):893-898. 被引量：4
2王丽.修正的Baskakov-Beta算子的Voronovskaja型渐近展开公式[J].宝鸡文理学院学报（自然科学版）,2005,25(2):94-97. 被引量：2
3Aral A, Gupta V. On q-Baskakov Type Operators [ J ]. Demonstratio Mathematica,2009,42 ( 1 ) : 109 - 122.
4Gupta V, Karsli H. Some approximation properties by q-Sztisz-Mirakyan-Baskakov-Stancu operators [ J ]. Lobachevskii Journal of Mathematics,2012,33 (2) : 175 - 182.
5莫庆峰,胡晓敏,吴鹏.一类修正的q-Baskakov算子的逼近性质[J].杭州电子科技大学学报（自然科学版）,2014,34(4):52-54. 被引量：1

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1徐阳,胡晓敏,耿慧.关于修正的q-Baskakov算子的性质研究[J].杭州电子科技大学学报（自然科学版）,2015,35(5):98-100.
2刘蕊蕊,胡晓敏,吴华亭.一类修正的q-Baskakov-Beta算子的逼近性质[J].杭州电子科技大学学报（自然科学版）,2016,36(5):99-102.

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Acta Mathematicae Applicatae Sinica

2011年第4期

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Approximation by q Baskakov Beta Operators 被引量：2

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