Results 31 to 40 of about 478 (59)

New Jensen's bounds for HA-convex mappings with applications to Shannon entropy

Demonstratio Mathematica
The 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, Butt Saad Ihsan, Dehghanian Mehdi, Agarwal Praveen, Nieto Juan J.   +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., Wang, Xianfu, Yao, Liangjin   +2 more
core   +1 more source

Extension of Fejér's inequality to the class of sub-biharmonic functions

Open Mathematics
Fejér’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
doaj   +1 more source

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, AS Lewis, D Aussel, DR Luke, HH Bauschke, HH Bauschke, HV Ngai, J Bolte, MN Dao, R Hesse, RA Poliquin   +10 more
core   +1 more source

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
core   +1 more source

Blurred maximal cyclically monotone sets and bipotentials

, 2010
Let X be a reflexive Banach space and Y its dual. In this paper we find necessary and sufficient conditions for the existence of a bipotential for a blurred maximal cyclically monotone graph. Equivalently, we find a necessary and sufficient condition on $
Bodovillé G., Buliga M., Buliga M., Buliga M., CLAUDE VALLÉE, de Saxcé G., de Saxcé G., de Saxcé G., GÉRY DE SAXCÉ, Hjiaj M., Ladevèze P., MARIUS BULIGA   +11 more
core   +3 more sources

On the Necessity of the Sufficient Conditions in Cone-Constrained Vector Optimization [PDF]

, 2014
The object of investigation in this paper are vector nonlinear programming problems with cone constraints. We introduce the notion of a Fritz John pseudoinvex cone-constrained vector problem.
Ivanov, Vsevolod I.
core  

Optimal transport through a toll station

European Journal of Applied Mathematics
We 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, Anqi Dong, Tryphon T. Georgiou   +2 more
doaj   +1 more source

New duality results for evenly convex optimization problems. [PDF]

Optimization, 2021
Fajardo MD, Grad SM, Vidal J.
europepmc   +1 more source