Results 21 to 30 of about 77,305 (216)

A New Extension of Hardy-Hilbert’s Inequality Containing Kernel of Double Power Functions

Mathematics, 2020
In this paper, we provide a new extension of Hardy-Hilbert’s inequality with the kernel consisting of double power functions and derive its equivalent forms.
Bicheng Yang, Shanhe Wu, Qiang Chen
doaj   +1 more source

Chain of Hardy-type local reality constraints for $n$ qubits [PDF]

, 2010
Non-locality without inequality is an elegant argument introduced by L. Hardy for two qubit systems, and later generalised to $n$ qubits, to establish contradiction of quantum theory with local realism.
Choudhary S. K., Shasanka Mohan Roy, Sibasish Ghosh   +2 more
core   +2 more sources

A Generalization on Some New Types of Hardy-Hilbert’s Integral Inequalities

Journal of Function Spaces and Applications, 2013
Sulaiman presented, in 2008, new kinds of Hardy-Hilbert’s integral inequality in which the weight function is homogeneous. In this paper, we present a generalization on the kinds of Hardy-Hilbert’s integral inequality.
Banyat Sroysang
doaj   +1 more source

Geometric Hardy and Hardy–Sobolev inequalities on Heisenberg groups

Bulletin of Mathematical Sciences, 2020
In this paper, we present geometric Hardy inequalities for the sub-Laplacian in half-spaces of stratified groups. As a consequence, we obtain the following geometric Hardy inequality in a half-space of the Heisenberg group with a sharp constant: ∫ℍ ...
Michael Ruzhansky, Bolys Sabitbek, Durvudkhan Suragan   +2 more
doaj   +1 more source

q-Hardy type inequalities for quantum integrals

Advances in Difference Equations, 2021
The aim of this work is to obtain quantum estimates for q-Hardy type integral inequalities on quantum calculus. For this, we establish new identities including quantum derivatives and quantum numbers.
Necmettin Alp, Mehmet Zeki Sarikaya
doaj   +1 more source

Hardy Inequalities on Homogeneous Groups [PDF]

, 2019
This open access book provides an extensive treatment of Hardy inequalities and closely related topics from the point of view of Folland and Stein's homogeneous (Lie) groups. The place where Hardy inequalities and homogeneous groups meet is a beautiful area of mathematics with links to many other subjects.
Ruzhansky, Michael, Suragan, Durvudkhan
openaire   +2 more sources

Characterization of the Hardy property of means and the best Hardy constants [PDF]

, 2015
The aim of this paper is to characterize in broad classes of means the so-called Hardy means, i.e., those means $M\colon\bigcup_{n=1}^\infty \mathbb{R}_+^n\to\mathbb{R}_+$ that satisfy the inequality $$ \sum_{n=1}^\infty M(x_1,\dots,x_n) \le C\sum_{n=1}
Pasteczka, Paweł, Páles, Zsolt
core   +2 more sources

Remarks on the hardy inequality

Journal of Inequalities and Applications, 1997
Let D be an open subset of ℝn(n≥2) with finite Lebesgue n-measure, let d(x) be the distance from x∈ℝn to the boundary ∂D of D, and let ...
R. Hurri–Syrjänen, D. E. Edmunds   +1 more
doaj   +2 more sources

Some new refinements of strengthened Hardy and Pólya–Knopp's inequalities

Journal of Function Spaces and Applications, 2009
We prove a new general one-dimensional inequality for convex functions and Hardy–Littlewood averages. Furthermore, we apply this result to unify and refine the so-called Boas's inequality and the strengthened inequalities of the Hardy–Knopp–type ...
Aleksandra Čižmešija, Sabir Hussain, Josip Pečarić   +2 more
doaj   +1 more source

Hardy-Littlewood-Sobolev and Stein-Weiss inequalities on homogeneous Lie groups [PDF]

, 2018
In this note we prove the Stein-Weiss inequality on general homogeneous Lie groups. The obtained results extend previously known inequalities. Special properties of homogeneous norms play a key role in our proofs.
Kassymov, Aidyn, Ruzhansky, Michael, Suragan, Durvudkhan   +2 more
core   +2 more sources