A Subclass Of Close-To-Convex Functions
H. R. Abdel-Gawad, D. K. Thomas (1991)
Publications de l'Institut Mathématique
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H. R. Abdel-Gawad, D. K. Thomas (1991)
Publications de l'Institut Mathématique
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Rade Živaljević (1979)
Publications de l'Institut Mathématique
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S. Owa, L. Liu, Wancang Ma (1989)
Matematički Vesnik
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Siniša Vrećica (1981)
Publications de l'Institut Mathématique
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Josip E. Pečarić (1980)
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Zyskowski, Janusz (2015-11-13T12:11:38Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Nelson Merentes, Kazimierz Nikodem, Sergio Rivas (2011)
Annales Polonici Mathematici
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Some properties of strongly Wright-convex functions are presented. In particular it is shown that a function f:D → ℝ, where D is an open convex subset of an inner product space X, is strongly Wright-convex with modulus c if and only if it can be represented in the form f(x) = g(x)+a(x)+c||x||², x ∈ D, where g:D → ℝ is a convex function and a:X → ℝ is an additive function. A characterization of inner product spaces by strongly Wright-convex functions is also given.
Hüsseinov, F. (1999)
Journal of Convex Analysis
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Moussafir, J.-O. (2000)
Zapiski Nauchnykh Seminarov POMI
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Yannis Tsertos (2005)
Banach Center Publications
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Given a locally convex space (V,Γ), we find (all) the multiplications π on V (associative or not) such that the algebra A ≡ (V,π,Γ) becomes (i) A-convex, (ii) lm-convex.