Results 41 to 50 of about 77,305 (216)

Some Hardy-Type Inequalities

open access: yesJournal of Mathematical Analysis and Applications, 2000
In this paper, some new Hardy-type inequalities involving many functions are obtained. These on the one hand generalize and on the other hand improve some existing results by Isumi and Isumi, Levinson, and Pachpatte on this famous type of inequalities. (C) 2000 Academic Press. [References: 19]
Hanjš, Z, Pečarić, J, Cheung, WS
openaire   +4 more sources

Hardy’s inequality for averages

open access: yesThe Mathematical Gazette, 2023
The prolific output of G. H. Hardy included a number of inequalities, each known, in its own context, simply as ‘Hardy’s inequality’. Here we give an account of one of them, together with some applications and generalisations. It relates to averages.
openaire   +1 more source

Hardy inequalities

open access: yes, 2021
The main theme of this thesis is further scrutinizing classic Hardy inequalities and expanding the study on "Optimal Hardy Inequality for General Elliptic Operators with Improvement". We rediscovered explicit integral form of Hardy inequality with the main focus on its functional aspects, including density of Sobolev space.
openaire   +3 more sources

On a Discrete Version of the Hardy–Littlewood–Polya Inequality Involving Multiple Parameters in the Whole Plane

open access: yesMathematics
In this paper, by introducing multiple parameters, we establish a discrete version of the Hardy–Littlewood–Polya inequality in the whole plane. For the obtained inequality, we give the equivalent statements of the best possible constant factor linked to ...
Bicheng Yang, Shanhe Wu
doaj   +1 more source

Self-improvement of pointwise Hardy inequality

open access: yes, 2018
We prove the self-improvement of a pointwise $p$-Hardy inequality.
Eriksson-Bique, Sylvester   +1 more
core   +1 more source

A curl-free improvement of the Rellich–Hardy inequality with weight

open access: yesAdvanced Nonlinear Studies
We consider the sharpness of functional inequality which we call Rellich–Hardy inequality with power weight for curl-free vector fields on RN ${\mathbb{R}}^{N}$ .
Hamamoto Naoki, Takahashi Futoshi
doaj   +1 more source

An Improved Version of the Parameterized Hardy–Hilbert Inequality Involving Two Partial Sums

open access: yesMathematics
In this paper, by employing the Euler–Maclaurin summation formula and real analysis techniques, an improved version of the parameterized Hardy–Hilbert inequality involving two partial sums is established.
Bicheng Yang, Shanhe Wu
doaj   +1 more source

On the critical behavior for inhomogeneous wave inequalities with Hardy potential in an exterior domain

open access: yesAdvances in Nonlinear Analysis, 2021
We study the wave inequality with a Hardy ...
Jleli Mohamed   +2 more
doaj   +1 more source

Multidimensional Bilinear Hardy Inequalities

open access: yesDoklady Mathematics, 2019
A characterization of n-dimensional bilinear Hardy inequalities in weighted Lebesgue spaces is given.
Stepanov V.D., Shambilova G.E.
openaire   +3 more sources

Bridging the Gap: Student Voices on Recruitment and Retention in Ecology

open access: yesThe Bulletin of the Ecological Society of America, EarlyView.
Abstract Students entering ecology and environmental science face a variety of challenges, including limited awareness of career paths, lack of mentorship, and difficulties connecting with peers and faculty. These challenges are often amplified for students from marginalized backgrounds, who may also encounter microaggressions, underrepresentation, and
Alexis Ellis   +9 more
wiley   +1 more source

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