Approximation by q Baskakov Beta Operators  

作　　者：Vijay GUPTA Ali ARAL 

机构地区：[1]School of Applied Sciences,Netaji Subhas Institute of Technology,Sector 3 Dwarka,New Delhi-110078,India [2]Department of Mathematics,Kirikkale University,Faculty of Science and Arts,Yah sihan,Kirikkale,Turkey

出　　处：《Acta Mathematicae Applicatae Sinica》2011年第4期569-580,共12页应用数学学报（英文版）

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.

关 键 词：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—数学]