q-Baskakov-Schurer-Szász-Beta算子的逼近(英文)

In this paper we introduce a new kind of Baskakov-Schurer-Szász-Beta operators Mn,pq based on q-integers.We establish some direct results in the polynomial weighted space of continuous functions defined on the interval [0,∞].Then we obtain the estimates on the rate of convergence and weighted approx...

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Veröffentlicht in:数学季刊:英文版 2016 (3), p.269-278
1. Verfasser: 吴华亭 胡晓敏 刘蕊蕊
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Sprache:eng
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Zusammenfassung:In this paper we introduce a new kind of Baskakov-Schurer-Szász-Beta operators Mn,pq based on q-integers.We establish some direct results in the polynomial weighted space of continuous functions defined on the interval [0,∞].Then we obtain the estimates on the rate of convergence and weighted approximation of operators Mqn,pin terms of modulus of continuity.
ISSN:1002-0462