Results 31 to 40 of about 2,139,146 (371)
Some Inequalities for Functions of Bounded Variation with Applications to Landau Type Results [PDF]
, 2006 Some inequalities for functions of bounded variation that provide reverses for the inequality between the integral mean and the p−norm for p Є [1,∞] are established.
Dragomir, Sever S
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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 the Minkowski-H\"{o}lder type inequalities for generalized Sugeno integrals with an application [PDF]
, 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
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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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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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The geometric mean is a Bernstein function [PDF]
, 2013 In the paper, the authors establish, by using Cauchy integral formula in the theory of complex functions, an integral representation for the geometric mean of $n$ positive numbers.
Li, Wen-Hui, Qi, Feng, Zhang, Xiao-Jing
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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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On a Hilbert-type integral inequality with non-homogeneous kernel of mixed hyperbolic functions
Journal of Mathematical Inequalities, 2019 . In this paper, by constructing a new non-homogeneous kernel of mixed hyperbolic functions, we establish a new Hilbert-type integral inequality with the best constant factor. We also consider the equivalent form of the obtained inequality.
Minghui You, Yue Guan
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On Cerone's and Bellman's generalization of Steffensen's integral inequality via conformable sense
AIMS Mathematics, 2023 By making use of the conformable integrals, we establish some new results on Cerone's and Bellman's generalization of Steffensen's integral inequality.
Mohammed S. El-Khatib +4 more
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