APPROXIMATION BY k-TH ORDER MODIFICATIONS OF SZASZ-MIRAKYAN OPERATORS

被引：14
作者：
Acar, Tuncer [1 ]
Aral, Ali [1 ]
Rasa, Ioan [2 ]
机构：
[1] Kirikkale Univ, Fac Sci & Arts, Dept Math, TR-71450 Yahsihan, Kirikkale, Turkey
[2] Tech Univ Cluj Napoca, Cluj Napoca, Romania
来源：
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2016年 / 53卷 / 03期
关键词：
Szasz-Mirakyan operators; Kantorovich operators; weighted modulus of continuity; quantitative Voronovskaya theorem; simultaneous approximation; THEOREMS;
D O I：
10.1556/012.2016.53.3.1339
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the k-th order Kantorovich type modication of Szasz-Mirakyan operators. We first establish explicit formulas giving the images of monomials and the moments up to order six. Using this modification, we present a quantitative Voronovskaya theorem for differentiated Szasz-Mirakyan operators in weighted spaces. The approximation properties such as rate of convergence and simultaneous approximation by the new constructions are also obtained.
引用
收藏
页码：379 / 398
页数：20
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