On the -uniformly close to convex functions with respect to a convex domain.

Blezu, Dorin

Displaying similar documents to “On the $n$ -uniformly close to convex functions with respect to a convex domain.”

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On uniformly convex functions

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We introduce a new class of normalized functions regular and univalent in the unit disk. These functions, called uniformly convex functions, are defined by a purely geometric property. We obtain a few theorems about this new class and we point out a number of open problems.

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Differential subordination defined by Sălăgean operator.

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On a Convexity Preserving Integral Operator

Oros, Gheorghe, Irina Oros, Georgia (2010)

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MSC 2010: 30C45, 30A20, 34C40 In this paper we determine conditions an analytic function g needs to satisfy in order that the function Fgiven by (1) be convex.