Results 41 to 50 of about 606,214 (82)

A weighted Hardy-Sobolev-Maz’ya inequality [PDF]

open access: yes, 2014
We provide a weighted extension of a Hardy-Sobolev-Maz’ya inequality that is due to Filippas, Maz’ya and ...
Sourdis, Christos
core  

The scalar T1 theorem for pairs of doubling measures fails for Riesz transforms when p not 2

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract We show that for an individual Riesz transform in the setting of doubling measures, the scalar T1$T1$ theorem fails when p≠2$p \ne 2$: for each p∈(1,∞)∖{2}$ p \in (1, \infty) \setminus \lbrace 2\rbrace$, we construct a pair of doubling measures (σ,ω)$(\sigma, \omega)$ on R2$\mathbb {R}^2$ with doubling constant close to that of Lebesgue ...
Michel Alexis   +3 more
wiley   +1 more source

Refined Hardy‐Type Inequalities Involving New Green Functions and Montgomery Identity

open access: yesDiscrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.
Some Hardy‐type inequalities are established in the paper by the suitable combinations of new Green functions on time scales, which are furthermore extended with the help of generalized Montgomery identity involving Taylor formula on time scales. Bounds of Grüss‐ and Ostrowski‐type inequalities related to these Hardy‐type inequalities on time scales ...
Ammara Nosheen   +4 more
wiley   +1 more source

Stability Results for Higher Order Solutions of Damped Wave Equations With Generalized Hartree‐Type Nonlinearity in Rn

open access: yesJournal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we investigate the dynamics of higher‐order solutions for a class of damped wave equations posed in Rn and driven by a nonlocal cubic convolution source of Hartree type. The model incorporates a higher order Laplacian of order σ, spatially dependent density functions, and frictional damping mechanisms.
Khaled Zennir   +4 more
wiley   +1 more source

Generalization of Hilbert-Hardy Integral Inequalities

open access: yesKuwait Journal of Science, 2018
In this paper, Hilbert's integral inequalities with some parameters are considered, by using new methods in the proof. Several results of Hardy and Yang are special cases of the new given inequality. As an application, we give some applied examples that
Sobhy a Mahrouf
doaj  

Visualizing Fractional Integral Inequalities Using Euler’s Beta Function and Extended Convexity

open access: yesJournal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this research article, we present various extensions and refinements of Hermite–Hadamard and related fractional integral inequalities by utilizing the unique characteristics of Euler’s beta and extended convex functions. In some of these results, Euler’s beta function is used as a weight function, while in the others, Euler’s incomplete beta ...
Muhammad Imran   +6 more
wiley   +1 more source

New kinds of Hardy–Hilbert’s integral inequalities [PDF]

open access: yes, 2010
New kinds of Hardy–Hilbert’s integral inequalities are ...
Sulaiman, W.T.
core   +1 more source

On an Extension of Hardy-Hilbert's Inequality

open access: yes, 2001
In this paper, by introducing a parameter λ, we give a new extension of Hardy-Hilbert’s inequality with a best possible constant factor.
Yang, Bicheng
core   +5 more sources

A Framework for Proving Hilbert's Double Integral Inequality and Related Results [PDF]

open access: yes, 1999
The classical Hilbert and Hardy integral inequalities are derived within a functional analytic framework.
Peachey, Tom C
core   +2 more sources

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