Results 11 to 20 of about 759,873 (305)

New refinements for integral and sum forms of Hölder inequality [PDF]

open access: yesJournal of Inequalities and Applications, 2019
In this paper, we establish new refinements for integral and sum forms of Hölder inequality. Many existing inequalities related to the Hölder inequality can be improved via newly obtained inequalities, which we illustrate by an application.
İmdat İşcan
doaj   +2 more sources

Extensions and demonstrations of Hölder’s inequality

open access: yesJournal of Inequalities and Applications, 2019
In this paper, we present some new extensions of Hölder’s inequality and give a condition under which the equality holds. We also show that many existing inequalities related to the Hölder inequality are particular cases of the inequalities presented. At
Fei Yan, Qin Gao
doaj   +2 more sources

A Hölder-Type Inequality for the C0 Distance and Anosov–Katok Pseudo-Rotations [PDF]

open access: greenInternational mathematics research notices, 2023
We prove a Hölder-type inequality for Hamiltonian diffeomorphisms relating the $C^0$ norm, the $C^0$ norm of the derivative, and the Hofer/spectral norm. We obtain as a consequence that sufficiently fast convergence in Hofer/spectral metric forces $C^0$
Dušan Joksimović, Sobhan Seyfaddini
openalex   +3 more sources

Hölder's inequality and its reverse—A probabilistic point of view [PDF]

open access: yesMathematische Nachrichten, 2022
In this article, we take a probabilistic look at Hölder's inequality, considering the ratio of terms in the classical Hölder inequality for random vectors in Rn$\mathbb {R}^n$ .
Lorenz Frühwirth, J. Prochno
semanticscholar   +1 more source

A multilinear reverse Hölder inequality with applications to multilinear weighted norm inequalities [PDF]

open access: yesGeorgian Mathematical Journal, 2017
We prove a multilinear version of the reverse Hölder inequality in the theory of Muckenhoupt A p {A_{p}} weights. We give two applications of this inequality to the study of multilinear weighted norm inequalities.
D. Cruz-Uribe, Kabe Moen
semanticscholar   +1 more source

Several integral inequalities for (α, s,m)-convex functions

open access: yesAIMS Mathematics, 2020
In this paper, we establish several new integral inequalities for (α, s,m)-convex functions. We recapture the Hermite-Hadamard inequality as a particular case.
M. Emin Özdemir   +3 more
doaj   +1 more source

Refinements of the Converse Hölder and Minkowski Inequalities

open access: yesMathematics, 2022
We give a refinement of the converse Hölder inequality for functionals using an interpolation result for Jensen’s inequality. Additionally, we obtain similar improvements of the converse of the Beckenbach inequality.
Josip Pečarić   +2 more
doaj   +1 more source

New midpoint type Hermite-Hadamard-Mercer inequalities pertaining to Caputo-Fabrizio fractional operators

open access: yesAlexandria Engineering Journal, 2023
The objective of the current article is to incorporate the concepts of convexity and Jensen-Mercer inequality with the Caputo-Fabrizio fractional integral operator.
Soubhagya Kumar Sahoo   +4 more
doaj   +1 more source

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