Approximation by a Complex Post-Widder Type Operator  

作　　者：Sorin G.Gal Vijay Gupta 

机构地区：[1]Department of Mathematics and Computer Science, University of Oradea [2]Department of Mathematics, Netaji Subhas Institute of Technology

出　　处：《Analysis in Theory and Applications》2018年第4期297-305,共9页分析理论与应用（英文刊）

摘　　要：In the present article, we deal with the so-called overconvergence phenomenon in C of a slightly modified Post-Widder operator of real variable, that is with the extension of its approximation properties from the real axis in the complex plane.In this sense, error estimates in approximation and a quantitative Voronovskaya-type asymptotic formula are established.In the present article, we deal with the so-called overconvergence phenomenon in C of a slightly modified Post-Widder operator of real variable, that is with the extension of its approximation properties from the real axis in the complex plane.In this sense, error estimates in approximation and a quantitative Voronovskaya-type asymptotic formula are established.

关 键 词：Real and complex Post-Widder type operator overconvergence phenomenon approximation estimate Voronovskaya-type result exact error estimation 

分 类 号：O1[理学—数学]