منابع مشابه
A Characterization of Convex Φ-functions
The properties of four elements (LPFE) and (UPFE), introduced by Isac and Persson, have been recently examined in Hilbert spaces, L-spaces and modular spaces. In this paper we prove a new theorem showing that a modular of form ρΦ(f) = R Ω Φ(t, |f(t)|) dμ(t) satisfies both (LPFE) and (UPFE) if and only if Φ is convex with respect to its second variable. A connection of this result with the study...
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In this paper, we give a fundamental convexity preserving for spectral functions. Indeed, we investigate infimal convolution, Moreau envelope and proximal average for convex spectral functions, and show that this properties are inherited from the properties of its corresponding convex function. This results have many applications in Applied Mathematics such as semi-definite programmings and eng...
متن کاملOn the quadratic support of strongly convex functions
In this paper, we first introduce the notion of $c$-affine functions for $c> 0$. Then we deal with some properties of strongly convex functions in real inner product spaces by using a quadratic support function at each point which is $c$-affine. Moreover, a Hyers–-Ulam stability result for strongly convex functions is shown.
متن کاملOn Convex Functions*
* Presented to the Society, April 7, 1934; received by the editors June 7, 1934. t Subharmonic functions and minimal surfaces, these Transactions, vol. 35 (1933), pp. 648661. Subharmonic functions and surfaces of negative curvature, these Transactions, vol. 35 (1933), pp. 662-674. % See F. Riesz, Sur les fonctions subharmoniques etc., in two parts, Acta Mathematica, vol. 48 1926), pp. 329-343, ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2016
ISSN: 1846-579X
DOI: 10.7153/jmi-10-15