Approximation by q-Durrmeyer operators

被引：26
作者：
Finta, Zoltan [1 ]
Gupta, Vijay [2 ]
机构：
[1] Babes Bolyai Univ, Dept Math, Cluj Napoca 400084, Romania
[2] Netaji Subhas Inst Technol, Sch Appl Sci, Sector 3 Dwarka, New Delhi 110078, India
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2009年 / 29卷 / 1-2期
关键词：
q-Durrmeyer operators; Modulus of smoothness; K-functional; Simultaneous approximation;
D O I：
10.1007/s12190-008-0141-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Very recently Gupta (Appl. Math. Comput. 197(1), 172-178, 2008) introduced the q-Durrmeyer operators D(n,q)f and studied some approximation properties of such operators. In the present paper, we extend the studies and here we obtain some local and global direct results for the q-Durrmeyer type operators. Furthermore, we establish a simultaneous approximation theorem for D(n,q)f, where f is a polynomial.
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页码：401 / 415
页数：15
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