Geometric and Approximate Properties of Convolution Polynomials in the Unit Disk
نویسنده
چکیده
The purpose of this paper is to prove several results in approximations through complex convolution polynomials with Jackson-type rate or with best approximation rate, having the quality of preservation of some properties in geometric function theory, like the preservation of: coefficients’ bounds, positive real part, bounded turn, close-to-convexity, starlikeness, convexity, spirallikeness, α-convexity. Also, some sufficient conditions for starlikeness and univalence of analytic functions are preserved.
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تاریخ انتشار 2006