Results 31 to 40 of about 457 (56)
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.
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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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Nonconvex Lipschitz function in plane which is locally convex outside a discontinuum [PDF]
, 2013 We construct a Lipschitz function on $\er^{2}$ which is locally convex on the complement of some totally disconnected compact set but not convex. Existence of such function disproves a theorem that appeared in a paper by L.
Pokorny, Dusan
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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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Characterizations of higher-order convexity properties with respect to Chebyshev systems
, 2015 In this paper various notions of convexity of real functions with respect to Chebyshev systems defined over arbitrary subsets of the real line are introduced.
Páles, Zsolt +1 more
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Extension of Fejér's inequality to the class of sub-biharmonic functions
Open MathematicsFejér’s integral inequality is a weighted version of the Hermite-Hadamard inequality that holds for the class of convex functions. To derive his inequality, Fejér [Über die Fourierreihen, II, Math. Naturwiss, Anz. Ungar. Akad. Wiss.
Jleli Mohamed
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Optimal transport through a toll station
European Journal of Applied MathematicsWe address the problem of optimal transport with a quadratic cost functional and a constraint on the flux through a constriction along the path. The constriction, conceptually represented by a toll station, limits the flow rate across.
Arthur Stephanovitch +2 more
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New duality results for evenly convex optimization problems. [PDF]
Optimization, 2021 Fajardo MD, Grad SM, Vidal J.
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The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge-Ampère measures. [PDF]
Calc Var Partial Differ Equ, 2022 Colesanti A, Ludwig M, Mussnig F.
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A new interpretation of Jensen's inequality and geometric properties of
Journal of Inequalities and Applications, 2011 We introduce a mean of a real-valued measurable function f on a probability space induced by a strictly monotone function φ. Such a mean is called a φ-mean of f and written by Mφ (f).
Takahasi Sin-Ei +2 more
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