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修正q-Phillips 算子的逼近性质
Approximation properties of modified q-Phillips operators

DOI: 10.7631/issn.1000-2243.2015.01.0016

Keywords: q-Phillips 算子 Korovich型定理 Voronovskaja 型结果 收敛性 q-积分
q-Phillips operators Korovkin type theorem Voronovskaja type result convergence q-integral

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Abstract:

引进一类修正q-Phillips算子,并研究该算子列的一些逼近性质. 得到算子列的一个Korovkin 型收敛定理,给出了算子列收敛速度的估计和一个Voronovskaja 型结果.
In this paper,a kind of modified q-Phillips operators is introduced,some approximate properties of the operators are studied. A convergence theorem of Korovkin type is established. Also,an estimate for the rate of convergence and a Voronovskaja-type result are given

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