Results 41 to 50 of about 4,869 (94)

New Upper Bounds for the Weighted Chebyshev Functional

Annales Mathematicae Silesianae
New upper bounds for the weighted Chebyshev functional under various conditions, including those of Steffensen type, are given. The obtained results are used to establish some new bounds for the Jensen functional.
Bakula Milica Klaričić, Pečarić Josip   +1 more
doaj   +1 more source

Majorization-Type Integral Inequalities Related to a Result of Bennett with Applications

Mathematics
In this paper, starting from abstract versions of a result of Bennett given by Niculescu, we derive new majorization-type integral inequalities for convex functions using finite signed measures.
László Horváth
doaj   +1 more source

Refining the integral Jensen inequality for finite signed measures using majorization

RACSAM
Among inequalities that use the concept of convexity, Jensen-type inequalities and majorization-type inequalities are significant and fundamental. An important and widely researched area in the study of Jensen-type inequalities is the refinement of such ...
László Horváth
semanticscholar   +1 more source

On some conversions of the Jensen-Steffensen inequality

Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, 2013
Some conversions of the Jensen-Steffensen inequality for convex functions are considered. Applying exp-convex method improvements and reverses of the Slater-Pečarić inequality are obtained. Related Cauchy’s type means are defined and some basic properties are given.
Ivelić, Slavica, Pečarić, Josip
openaire   +4 more sources

On boundary domination in the Jensen-Mercer inequality

, 2015
The main purpose of this, mainly expository, paper is to give various arguments that the boundary domination is a crucial property for the Jensen-Mercer inequality.
I. Peric
semanticscholar   +1 more source

Variants of Čebyšev's inequality with applications

Journal of Inequalities and Applications, 2006
Several variants of Čebyšev's inequality for two monotonic -tuples and also nonnegative -tuples monotonic in the same direction are presented. Immediately after that their refinements of Ostrowski's type are given.
Pečarić J, Bakula M Klaričić, Matković A   +2 more
doaj  

Steffensen’s inequality and ¹-^{\infy} estimates of weighted integrals

, 2012
Let Φ : [0,∞) → R be a continuous convex function with Φ(0) = 0. We prove that Φ ( ||f||1 ωN ||f||∞ ) ≤ 1 ωN ||f||∞ ∫ RN |f(x)|Φ′(|x|N )dx for every f ∈ L1(RN ) ∩ L∞(RN ), f = 0, where ωN is the measure of the unit ball of RN . This can be used to obtain
P. Rabier
semanticscholar   +1 more source

Generalized reversed Jensen-Steffensen and related inequalities

Carpathian Mathematical Publications
We compare two linear functionals that are negative on convex functions. Further, using Green's functions we give some new conditions for reversed Jensen-Steffensen and related inequalities to hold. Using Green's function we also give refinement of Levinson type generalization of reversed Jensen-Steffensen and related inequalities. The acquired results
A.R. Khan, F. Rubab
openaire   +1 more source

On Sherman-Steffensen type inequalities

, 2018
In this work, Sherman-Steffensen type inequalities for convex functions with not necessarily non-negative coefficients are established by using Steffensen’s conditions.
M. Niezgoda
semanticscholar   +1 more source

Jensen's type inequalities for two times differentiable functions with applications

Communications faculty of sciences university of ankara series a1 mathematics and statistics
In the main body, first of all this work recommends an inequality of Jensen's type involving Green functions for a class of two times differentiable functions.
M. Adil Khan, Shahid Khan, D. Pečarić, J. Pečarić   +3 more
semanticscholar   +1 more source