Results 11 to 20 of about 1,396,305 (234)
A Further Generalization of Hardy-Hilbert's Integral Inequality with Parameter and Applications [PDF]
, 2004 In this paper, by introducing some parameters and by employing a sharpening of Hölder’s inequality, a new generalization of Hardy-Hilbert integral inequality involving the Beta function is established.
Leping, He +2 more
core +6 more sources
On Weighted Remainder Form of Hardy-Type Inequalities [PDF]
, 2009 We use different approaches to study a generalization of a result of Levin and Stečkin concerning an inequality analogous to Hardy’s inequality.
Gao, Peng
core +6 more sources
An Improved Discrete p-Hardy Inequality [PDF]
Integral equations and operator theory, 2019 We improve the classical discrete Hardy inequality for ...
Florian Fischer +2 more
semanticscholar +1 more source
Hardy and Rellich inequality on lattices [PDF]
Calculus of Variations and Partial Differential Equations, 2022 In this paper, we study the asymptotic behaviour of the sharp constant in discrete Hardy and Rellich inequality on the lattice $$\mathbb {Z}^d$$ Z d as $$d \rightarrow \infty $$ d → ∞ .
Shubham Gupta
semanticscholar +1 more source
Some new scales of characterization of Hardy’s inequality; pp. 7–18 [PDF]
Proceedings of the Estonian Academy of Sciences, 2010 Let 1 lt; p ⤠q lt; â. Inspired by some recent results concerning Hardy-type inequalities where the equivalence of four scales of integral conditions was proved, we use related ideas to find ten new equivalence scales of integral conditions.
Amiran Gogatishvili +2 more
doaj +1 more source
An optimal improvement for the Hardy inequality on the hyperbolic space and related manifolds [PDF]
Proceedings of the Royal Society of Edinburgh. Section A Mathematics, 2017 We prove optimal improvements of the Hardy inequality on the hyperbolic space. Here, optimal means that the resulting operator is critical in the sense of Devyver, Fraas, and Pinchover (2014), namely the associated inequality cannot be further improved ...
E. Berchio +3 more
semanticscholar +1 more source
Remarks on Some Higher Dimensional Hardy Inequalities
International Journal of Analysis and Applications, 2023 In this note, we give an elementary proof of Hardy inequality in higher dimensions introduced by Christ and Grafakos. The advantage of our approach is that it uses the one-dimensional Hardy inequality to obtain higher dimensional versions.
Zraiqat Amjad +3 more
doaj +1 more source
Bohr’s inequality for non-commutative Hardy spaces [PDF]
Proceedings of the American Mathematical Society, 2021 In this paper we extend the classical Bohr’s inequality to the setting of the non-commutative Hardy space H associated with a semifinite von Neumann algebra. As a consequence, we obtain Bohr’s inequality for operators in the von Neumann-Schatten class C1
S. Lata, Dinesh Singh
semanticscholar +1 more source
An Improved Discrete Hardy Inequality [PDF]
The American mathematical monthly, 2016 In this note, we prove an improvement of the classical discrete Hardy inequality. Our improved Hardy-type inequality holds with a weight w which is strictly greater than the classical Hardy weight wH(n) ≔ 1/(2n)2, where .
M. Keller +2 more
semanticscholar +1 more source
On the improvement of the Hardy inequality due to singular magnetic fields [PDF]
Communications in Partial Differential Equations, 2018 We establish magnetic improvements upon the classical Hardy inequality for two specific choices of singular magnetic fields. First, we consider the Aharonov-Bohm field in all dimensions and establish a sharp Hardy-type inequality that takes into account ...
L. Fanelli +3 more
semanticscholar +1 more source