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

页码：355 / 372

页数：18

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