Geometric and approximation properties of some singular integrals in the unit disk

被引：0
|
作者：
George A. Anastassiou
Sorin G. Gal
机构：
[1] University of Memphis,Department of Mathematical Sciences
[2] University of Oradea,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2006卷
关键词：
Analytic Function; Unit Disk; Function Theory; Approximation Property; Singular Integral;
D O I：
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摘要：
The purpose of this paper is to prove several results in approximation by complex Picard, Poisson-Cauchy, and Gauss-Weierstrass singular integrals with Jackson-type rate, having the quality of preservation of some properties in geometric function theory, like the preservation of coefficients' bounds, positive real part, bounded turn, starlikeness, and convexity. Also, some sufficient conditions for starlikeness and univalence of analytic functions are preserved.
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