Characterizations of inner product spaces by strongly convex functions.
Nikodem, Kazimierz, Páles, Zsolt (2011)
Banach Journal of Mathematical Analysis [electronic only]
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Displaying similar documents to “On the strongly starlikeness of multivalently convex functions of order .”
Characterizations of inner product spaces by strongly convex functions.
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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.
Strongly gamma-starlike functions of order alpha
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In this work we consider the class of analytic functions G(α, γ), which is a subset of gamma-starlike functions introduced by Lewandowski, Miller and Złotkiewicz in Gamma starlike functions, Ann. Univ. Mariae Curie- Skłodowska, Sect. A 28 (1974), 53-58. We discuss the order of strongly starlikeness and the order of strongly convexity in this subclass.