Results 41 to 50 of about 157 (74)

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

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

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

On approximate t-convexity

, 2005
A real valued function f defined on an open convex set D is called (e, δ, p, t) -convex if it satisfies f (tx + (1 − t)y) tf (x) + (1 − t)f (y) + δ + e|x − y|p for x, y ∈ D. The main result of the paper states that if f is locally bounded from above at a
A. Házy
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
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Strongly λ-convex functions and some characterization of inner product spaces

, 2015
In this paper we show that each strongly λ -convex function f : D → R with modulus c > 0 , where D is an nonempty convex subset of inner product space X with norm ‖·‖ , must by of the form g+ ‖·‖ , where g is an λ -convex function.
Mirosław Adamek
semanticscholar   +1 more source

M^♮-convexity and ultramodularity on integer lattice

, 2015
Ultramodular functions defined on a subset of a finite dimensional Euclidean space is a class of functions that generalizes the scalar convexity. On the other hand, M -convex functions defined on a subset of integer lattice form a class of integrally ...
Sumbul Azeem, R. Farooq
semanticscholar   +1 more source

Schur convexity properties for the elliptic Neuman mean with applications

, 2015
Strictly Schur convexity, Schur multiplicative convexity and Schur harmonic convexity are investigated for the elliptic Neuman mean. As applications, several sharp bounds for the arithmetic, geometric and harmonic means in terms of the elliptic Neuman ...
Ying-Qing Song, Miao-Kun Wang, Y. Chu
semanticscholar   +1 more source

Inequalities involving multivariate convex functions. II

, 1990
This paper deals with the inequalities involving logarithmically convex functions of several variables. The results here provide generalizations of inequalities for univariate functions obtained by Dragomir and Dragomir and Mond.
E. Neuman
semanticscholar   +1 more source