APPROXIMATION BY COMPLEX MODIFIED SZASZ-MIRAKJAN OPERATORS

被引：14
|
作者：
Cetin, Nursel [1 ]
Ispir, Nurhayat [2 ]
机构：
[1] Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey
[2] Gazi Univ, Fac Sci, Dept Math, TR-06500 Ankara, Turkey
来源：
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2013年 / 50卷 / 03期
关键词：
Complex Szasz-Mirakjan operators; Voronovskaja type results; exact orders of approximation; univalence; starlikeness; convexity and spirallikeness;
D O I：
10.1556/SScMath.50.2013.3.1247
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this study, we investigate approximation properties and obtain Voronovskaja type results for complex modified Szasz-Mirakjan operators. Also, we estimate the exact orders of approximation in compact disks and prove that the complex modified Szasz-Mirakjan operators attached to an analytic function preserve the univalence, starlikeness, convexity and spirallikeness in the unit disk.
引用
收藏
页码：355 / 372
页数：18
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