Results 11 to 20 of about 533,088 (290)

An Integral Inequality [PDF]

open access: yesSIAM Review, 1977
We furnish conditions on the functions p ( t ) , f ( t ) p(t),f(t) , and g ( t ) g(t) that are sufficient for the validity of the inequality, α 2 δ ≥
openaire   +2 more sources

A Novel Generalized Integral Inequality Based on Free Matrices for Stability Analysis of Time-Varying Delay Systems

open access: yesIEEE Access, 2020
This paper proposes a novel generalized integral inequality based on free matrices and applies it to stability analysis of time-varying delay systems. The proposed integral inequality estimates the upper bound of the augmented quadratic term of the state
Jun Hui Lee, In Seok Park, Poogyeon Park
doaj   +1 more source

On the Minkowski-H\"{o}lder type inequalities for generalized Sugeno integrals with an application [PDF]

open access: yes, 2015
In this paper, we use a new method to obtain the necessary and sufficient condition guaranteeing the validity of the Minkowski-H\"{o}lder type inequality for the generalized upper Sugeno integral in the case of functions belonging to a wider class than ...
Boczek, Michał, Kaluszka, Marek
core   +2 more sources

Supplementing the numerical solution of singular/hypersingular integral equations/inequalities with parametric inequality constraints with applications to crack problems

open access: yesComputer Assisted Methods in Engineering and Science, 2017
Singular and hypersingular integral equations appear frequently in engineering problems. The approximate solution of these equations by using various numerical methods is well known.
Nikolaos I. Ioakimidis
doaj   +1 more source

Refinements of the integral Jensen’s inequality generated by finite or infinite permutations

open access: yesJournal of Inequalities and Applications, 2021
There are a lot of papers dealing with applications of the so-called cyclic refinement of the discrete Jensen’s inequality. A significant generalization of the cyclic refinement, based on combinatorial considerations, has recently been discovered by the ...
László Horváth
doaj   +1 more source

On the refinements of some important inequalities via ( p , q ) $(p,q)$ -calculus and their applications

open access: yesJournal of Inequalities and Applications, 2021
We establish some interesting refinements of the ( p , q ) $(p,q)$ -Hölder integral inequality and the ( p , q ) $(p,q)$ -power-mean integral inequality. As applications, we show that some existing ( p , q ) $(p,q)$ -integral inequalities can be improved
Bo Yu, Chun-Yan Luo, Ting-Song Du
doaj   +1 more source

Refinements of the integral form of Jensen’s and the Lah–Ribarič inequalities and applications for Csiszár divergence

open access: yesJournal of Inequalities and Applications, 2020
In this paper, we give refinements of the integral form of Jensen’s inequality and the Lah–Ribarič inequality. Using these results, we obtain a refinement of the Hölder inequality and a refinement of some inequalities for integral power means and ...
J. Pečarić, J. Perić
doaj   +1 more source

An integral inequality

open access: yesJournal of Numerical Analysis and Approximation Theory, 1996
Not available.
J. Pečarić, I. Rașa
doaj   +2 more sources

An application of the Choquet theorem to the study of randomly-superinvariant measures [PDF]

open access: yesOpuscula Mathematica, 2012
Given a real valued random variable \(\Theta\) we consider Borel measures \(\mu\) on \(\mathcal{B}(\mathbb{R})\), which satisfy the inequality \(\mu(B) \geq E\mu(B-\Theta)\) (\(B \in \mathcal{B}(\mathbb{R})\)) (or the integral inequality \(\mu(B) \geq ...
Teresa Rajba
doaj   +1 more source

An equivalent form of Young's inequality with upper bound

open access: yes, 2008
Young's integral inequality is complemented with an upper bound to the remainder. The new inequality turns out to be equivalent to Young's inequality, and the cases in which the equality holds become particularly transparent in the new formulation ...
E. Minguzzi, E. Minguzzi
core   +2 more sources

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