Results 41 to 50 of about 600 (94)
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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Explicit formulas for $C^{1,1}$ Glaeser-Whitney extensions of 1-fields in Hilbert spaces
, 2018 We give a simple alternative proof for the $C^{1,1}$--convex extension problem which has been introduced and studied by D. Azagra and C. Mudarra [2].
Daniilidis, Aris +3 more
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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
semanticscholar +1 more source
, 2015 In this paper we study a vector majorization ordering for comparing two m -tuples of vectors of a real linear space. This extends the classical approach of (scalar) majorization theory for comparing m -tuples of scalars in R .
M. Niezgoda
semanticscholar +1 more source
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
semanticscholar +1 more source
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
doaj +1 more source
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
doaj +1 more source
Monotone Valuations on the Space of Convex Functions
Analysis and Geometry in Metric Spaces, 2015 We consider the space Cn of convex functions u defined in Rn with values in R ∪ {∞}, which are lower semi-continuous and such that lim|x| } ∞ u(x) = ∞.
Cavallina L., Colesanti A.
doaj +1 more source
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
core +1 more source