Results 51 to 60 of about 600 (94)

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
semanticscholar   +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

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

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
semanticscholar   +1 more source

Some exact Bernstein-Szegö inequalities on the standard triangle

, 2017
An actual problem in the theory of approximations is to extend the univariate inequality of Bernstein to the multivariate setting. This question is satisfactorily settled in the case of a centrally symmetric convex body.
L. Milev, N. Naidenov
semanticscholar   +1 more source

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

Convex ordering properties and applications

, 2015
A relevant application of the stochastic convex order is the well-known weighted Hermite-Hadamard inequality, where the weight is provided by a given probability distribution.
A. Florea, Eugen Păltănea, D. Bălă
semanticscholar   +1 more source

Coincidence theorems and minimax inequalities in abstract convex spaces

, 2011
In this paper, we deal with the notion of abstract convex spaces via minimal spaces as an extended version of other forms of convexity and establish some well-known results such as coincidence theorems for the classes m-KKM and ms-KKM of multimaps and Ky
Y. Je Cho, M. R. Delavar, S. A. Mohammadzadeh, M. Roohi   +3 more
semanticscholar   +1 more source

Jessen's functional and majorization

, 2015
In this note, we prove a Sherman type inequality for the Jessen’s functional by using a majorization method. In consequence, we obtain a Hardy-Littlewood-Pólya-Karamata type inequality, which says that some n -sums generated by the Jessen’s functional ...
M. Niezgoda
semanticscholar   +1 more source

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

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