Results 41 to 50 of about 585 (94)
Optimality and duality in set-valued optimization utilizing limit sets
Open Mathematics, 2018 This paper deals with optimality conditions and duality theory for vector optimization involving non-convex set-valued maps. Firstly, under the assumption of nearly cone-subconvexlike property for set-valued maps, the necessary and sufficient optimality ...
Kong Xiangyu, Zhang Yinfeng, Yu GuoLin
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A note on Schur-concave functions
, 2012 In this paper we consider a class of Schur-concave functions with some measure properties. The isoperimetric inequality and Brunn-Minkowsky’s inequality for such kind of functions are presented.
Ionel Rovența
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On the Jensen functional and superquadraticity
, 2015 In this note we give a recipe which describes upper and lower bounds for the Jensen functional under superquadraticity conditions. Some results involve the Chebychev functional.
Minculete, Nicuşor +1 more
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Inequalities with infinite convex combinations in the simplices
Mathematical Inequalities & Applications, 2019 The article deals with convex combinations containing infinite number of terms (infinite convex combinations). The inequalities for convex functions and infinite convex combinations of points from the simplices are investigated.
Zlatko Pavić
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Quasi-convex functions of higher order
Mathematical Inequalities & Applications, 2019 We introduce and investigate the notions of n -quasi-convex as well as strongly n quasi-convex functions with modulus c > 0 . We give characterizations of these functions, which are counterparts of those given for quasi-convex and strongly n -convex ...
J. Mrowiec, T. Rajba
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Open MathematicsIn this article, we establish Hermite-Hadamard-type inequalities for the two classes of functions X±λ(Ω)={f∈C2(Ω):Δf±λf≥0}{X}_{\pm \lambda }\left(\Omega )=\{f\in {C}^{2}\left(\Omega ):\Delta f\pm \lambda f\ge 0\}, where λ>0\lambda \gt 0 and Ω\Omega is ...
Dragomir Silvestru Sever +2 more
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Schur-convexity of dual form of some symmetric functions
, 2013 By the properties of a Schur-convex function, Schur-convexity of the dual form of some symmetric functions is simply proved.MSC:26D15, 05E05, 26B25.
Huan-Nan Shi, Jing Zhang
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Monotone Linear Relations: Maximality and Fitzpatrick Functions [PDF]
, 2008 We analyze and characterize maximal monotonicity of linear relations (set-valued operators with linear graphs). An important tool in our study are Fitzpatrick functions.
Bauschke, Heinz H. +2 more
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Characterizations of Super-regularity and its Variants
, 2018 Convergence of projection-based methods for nonconvex set feasibility problems has been established for sets with ever weaker regularity assumptions.
A Daniilidis +10 more
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New Jensen's bounds for HA-convex mappings with applications to Shannon entropy
Demonstratio MathematicaThe aim of this article is to establish some new extensions and variants of Jensen’s discrete and Simic-type inequalities for HA-convex and uniformly HA-convex functions.
Sayyari Yamin +4 more
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