Results 31 to 40 of about 469 (57)
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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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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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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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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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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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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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.
europepmc +1 more source
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
doaj
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.
europepmc +1 more source