Results 31 to 40 of about 2,167,123 (372)
Refinements of the integral Jensen’s inequality generated by finite or infinite permutations
Journal 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
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Mathematical Inequalities & Applications, 2001 Let \((X,{\mathcal A},\mu)\) be a measure space, and let \(S:X\to {\mathcal A}\) be a function of type (C), i.e., \(S\) satisfies the following three conditions: C1) \(x\notin S(x)\) for every \(x\in X;\) C2) if \(y\in S(x),\) then \(S(y)\subset S(x);\) C3) \(\{ (x,y)\); \(y\in S(x)\} \) is \( \mu \times \mu \) measurable.
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An integral inequality with applications [PDF]
Transactions of the American Mathematical Society, 1984 Using a technical integral inequality, J. Moser proved a sharp result on exponential integrability of a certain space of Sobolev functions. In this paper, we show that the integral inequality holds in a general setting using nonincreasing functions and a certain class of convex functions. We then apply the integral inequality to extend the above result
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Journal of Mathematical Inequalities, 2019 . We study some equivalent conditions of a reverse Hilbert-type integral inequality with a particular non-homogeneous kernel and a best possible constant factor related to the extended Hurwitz-zeta function.
M. Rassias, Bicheng Yang
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Asymptotical stability of fractional order systems with time delay via an integral inequality
IET Control Theory & Applications, 2018 In this study, the asymptotical stability for several classes of fractional order differential systems with time delay is investigated. The authors first present an integral inequality by which the Halanay inequality is extended to fractional order case.
Bin‐bin He +3 more
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On some inequality of Hermite-Hadamard type [PDF]
, 2011 It is well-known that the left term of the classical Hermite-Hadamard inequality is closer to the integral mean value than the right one. We show that in the multivariate case it is not true.
Wasowicz, Szymon, Witkowski, Alfred
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Journal 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
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Journal 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
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An application of the Choquet theorem to the study of randomly-superinvariant measures [PDF]
Opuscula 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
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On an Integral Inequality [PDF]
Journal 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
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