Results 31 to 40 of about 1,591,834 (270)

Nonoscillation and integral inequalities [PDF]

open access: yesBulletin of the American Mathematical Society, 1974
Publisher Summary This chapter discusses nonoscillation and integral inequalities. The chapter presents an assumption involving a system dy/dt = A(t) y where A = (a jk ) n 1 is an n × n real valued matrix and y = (y 1 , …, y n ) is an n column real valued vector.
openaire   +4 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

Differential and integral inequalities [PDF]

open access: yesProceedings of the American Mathematical Society, 1964
RAYMOND M. REDHEFFER This note presents new proofs for some important inequalities [l]. The assumptions on positivity or monotony of the various functions are weaker than those in [l] or in the original references (see [l]) and yet the method seems astonishingly elementary. We set u' = du/dt, and ?2^0; the reversal of inequalities for ? 0. Then (1) Tu ^
openaire   +1 more source

Reverses of the CBS Integral Inequality in Hilbert Spaces and Related Results [PDF]

open access: yes, 2008
There are many known reverses of the Cauchy-Bunyakovsky-Schwarz (CBS) inequality in the literature. We obtain here a general integral inequality comprising some of those results and also provide other related inequalities.
Brnetić, Ilko   +3 more
core   +6 more sources

On an Integral Inequality [PDF]

open access: yesJournal of inequalities in pure and applied mathematics, 2004
In this article we give different sufficient conditions for the inequality $(\int_a^b f(x)^{; ; ; \alpha}; ; ; dx)^{; ; ; \beta}; ; ; \geq \int_a^b f(x)^{; ; ; \gamma}; ; ; dx$ to hold.
Pečarić, Josip, Pejković, Tomislav
openaire   +2 more sources

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

On Opial-Type Integral Inequalities [PDF]

open access: yesJournal of Inequalities and Applications, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cheung, WS, Zhao, CJ
openaire   +6 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

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