The Rate of Convergence of Lupas q-Analogue of the Bernstein Operators. (9th April 2014)

• Record Type: Journal Article
• Authors: Wang, Heping; Zhang, Yanbo
• Other Names: Ostrovska Sofiya Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-04-09
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/521709
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We discuss the rate of convergence of the Lupas q -analogues of the Bernstein operators R n, q ( f ; x ) which were given by Lupas in 1987. We obtain the estimates for the rate of convergence of R n, q ( f ) by the modulus of continuity of f, and show that the estimates are sharp in the sense of order for Lipschitz continuous functions.