IMPROVED RATE OF CONVERGENCE FOR THE MODIFIED SZASZ-MIRAKYAN OPERATORS

作     者：Gupta Vijay Gupta Prabhakar Rogalski Marc 

作者机构：Division of Applied Science(Mathematics)Netagji Subhas Institute of TechnologyAzad Hind Fauj Marg Sector 3Owarka110045New DelhiIndia Equipe D'AnalyseUniversite Pierre et Marie Curie-Paris 6Tour 46-Case 186-4Place JussienF-75252Paris Cedex 05France 

出 版 物：《Analysis in Theory and Applications》 (分析理论与应用（英文刊）)

年 卷 期：2000年第16卷第3期

页      面：94-99页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Type Operator Bounded Variation Auxiliary Function Improve Rate Auxiliary Result 

摘      要：For some locally bounded function f measurable on the interval [0,∞) we have estimated the rate of convergence of the modified Szasz-Mirakyan operators Mnf at those points x∈[0,∞) at which one sided limits f(±) exist. We have used the Chanturiya s modulus of variation. Our result improves the estimate of [1], [3], [4], [5], [6] and [9].