Stancu型q-Bernstein-Durrmeyer算子的逼近性质被引量：1

Approximation Properties of the Stancu Type q-Bernstein Durrmeyer Operators

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摘要基于q-整数概念,引进一类Stancu型q-Bernstein-Durrmeyer算子,研究了该算子列的一些逼近性质。得到了算子列的一个Korovkin型收敛定理,并给出了算子列收敛速度的一些估计。 Based on the concept of q-integer, a kind of Stancu type q-Bernstein Durrmeyer type operators is introduced, and some approximate properties of the operators are studied. A convergence theorem of Korovkin type is established. Some estimations for the rate of convergence are given.

作者任美英 REN Meiying(School of Mathematics and Computer Science,Wuyi University,Wuyishan,Fujian 354300)

机构地区武夷学院数学与计算机学院

出处《武夷学院学报》 2019年第9期1-4,共4页 Journal of Wuyi University

基金福建省自然科学基金资助项目(2018J01428)

关键词 Stancu型q-Bernstein-Durrmeyer算子 q-整数连续模收敛性 Stancu type q-Bernstein Durrmeyer operators q-integer modulus of continuity convergence

分类号 O174 [理学—基础数学]

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1任美英.q-Bernstein-Durrmeyer型算子的逼近性质[J].模糊系统与数学,2012,26(5):107-112. 被引量：2

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