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On support points for some families of univalent functions

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Abstract

Given a closed subset of the familyS* (α) of functions starlike of order α, a continuous Fréchet differentiable functional,J, is constructed with this collection as the solution set to the extremal problem ReJ(f) overS* (α). The support points ofS* (α) is completely characterized and shown to coincide with the extreme points of its convex hulls. Given any finite collection of support points ofS* (α), a continuous linear functional,J, is constructed with this collection as the solution set to the extremal problem ReJ(f) overS* (α).

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Authors and Affiliations

  1. Department of Mathematics, Ewha Women’s University, 120-750, Seoul, Korea

    Gae sun Chung

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  1. Gae sun Chung
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Chung, G.s. On support points for some families of univalent functions. Korean J. CAM 2, 83–95 (1995). https://doi.org/10.1007/BF03008966

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  • DOI: https://doi.org/10.1007/BF03008966

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