Results 11 to 20 of about 2,489 (256)

An Improved Discrete Hardy Inequality [PDF]

The American Mathematical Monthly, 2018
We improve the classical discrete Hardy inequality \begin{equation*}\label{1} \sum _{n=1}^{\infty }a_{n}^{2}\geq \left({\frac {1}{2}}\right)^{2} \sum _{n=1}^{\infty }\left({\frac {a_{1}+a_{2}+\cdots +a_{n}}{n}}\right)^{2}, \end{equation*} where $\{a_n\}_{n=1}^\infty$ is any sequence of non-negative real numbers.
Matthias Keller, Yehuda Pinchover, Felix Pogorzelski   +2 more
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A logarithmic Hardy inequality

Journal of Functional Analysis, 2010
We prove a new inequality which improves on the classical Hardy inequality in the sense that a nonlinear integral quantity with super-quadratic growth, which is computed with respect to an inverse square weight, is controlled by the energy. This inequality differs from standard logarithmic Sobolev inequalities in the sense that the measure is neither ...
Del Pino, Manuel, Dolbeault, Jean, Filippas, Stathis, Tertikas, Achilles   +3 more
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Hardy inequality on time scales and its application to half-linear dynamic equations [PDF]

Journal of Inequalities and Applications, 2005
A time-scale version of the Hardy inequality is presented, which unifies and extends well-known Hardy inequalities in the continuous and in the discrete setting. An application in the oscillation theory of half-linear dynamic equations is given.
Řehák Pavel
doaj   +2 more sources

A note on the fractional Hardy inequality [PDF]

, 2023
We give a direct proof of fractional Hardy inequality by means of Littlewood-Paley decomposition and properties of singular homogeneous kernels of degree -d.
Matteo Aldovardi, Jacopo Bellazzini
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Reverse integral Hardy inequality on metric measure spaces

, 2021
In this note, we obtain a reverse version of the integral Hardy inequality on metric measure spaces. Moreover, we give necessary and sufficient conditions for the weighted reverse Hardy inequality to be true.
Kassymov, A, Kassymov, AidynUGent0001816442208020031727449771886527214F6F1BD4-8194-11E9-8001-E2AF5607D3EF, Ruzhansky, MichaelWE168020029013460000-0001-8633-55708B63EA9E-C5C8-11E8-8987-A2685607D3EF, Ruzhansky, M, Suragan, D, Suragan, Durvudkhan, Kassymov, Aidyn, Ruzhansky, Michael   +7 more
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THE LEGENDRE-HARDY INEQUALITY ON BOUNDED DOMAINS

, 2022
There have been numerous studies on Hardy’s inequality on a bounded domain, which holds for functions vanishing on the boundary. On the other hand, the classical Legendre differential equation defined in an interval can be regarded as a Neumann version ...
Byeon, Jaeyoung, Jin, Sangdon
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Hardy inequality: genesis and applications [PDF]

, 2022
openArgomento principale della tesi è la disuguaglianza di Hardy. Dopo averla introdotta nella sua forma sia discreta che continua, dimostrata e averne dato qualche generalizzazione, introdurremo la nozione di spazio di Sobolev, illustrando le ...
TEDESCO, NICOLÒ
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Hardy inequalities [PDF]

Proceedings of the American Mathematical Society, 1990
Here the following Hardy inequalities are studied \[ ∑
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A Hardy Inequality for Ultraspherical Expansions with an Application to the Sphere [PDF]

, 2018
We prove a Hardy inequality for ultraspherical expansions by using a proper ground state representation. From this result we deduce some uncertainty principles for this kind of expansions.
Labarga, E. [0000-0003-1017-869X], Arenas, A. [0000-0002-0854-0138], Ciaurri, Ó. [0000-0002-1695-3311]   +2 more
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The Prehistory of the Hardy Inequality

The American Mathematical Monthly, 2006
(2006). The Prehistory of the Hardy Inequality. The American Mathematical Monthly: Vol. 113, No. 8, pp. 715-732.
Kufner, Alois, Maligranda, Lech, Persson, Lars-Erik   +2 more
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