Results 21 to 30 of about 1,396,305 (234)

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

, 1999
The classical Hilbert and Hardy integral inequalities are derived within a functional analytic framework.
Peachey, Tom C
core   +6 more sources

A Reverse Hardy–Hilbert’s Inequality Containing Multiple Parameters and One Partial Sum

Mathematics, 2022
In this work, by introducing multiple parameters and utilizing the Euler–Maclaurin summation formula and Abel’s partial summation formula, we first establish a reverse Hardy–Hilbert’s inequality containing one partial sum as the terms of double series ...
Bicheng Yang, Shanhe Wu, Xingshou Huang
doaj   +1 more source

A Weighted Generalization of Hardy–Hilbert-Type Inequality Involving Two Partial Sums

Mathematics, 2023
In this paper, we address Hardy–Hilbert-type inequality by virtue of constructing weight coefficients and introducing parameters. By using the Euler–Maclaurin summation formula, Abel’s partial summation formula, and differential mean value theorem, a new
Bicheng Yang, Shanhe Wu
doaj   +1 more source

An Extension Problem and Trace Hardy Inequality for the Sub-Laplacian on H-type Groups [PDF]

International mathematics research notices, 2017
In this paper we study the extension problem for the sub-Laplacian on an $H$-type group and use the solutions to prove trace Hardy and Hardy inequalities for fractional powers of the sub-Laplacian.
Luz Roncal, Sundaram Thangavelu
semanticscholar   +1 more source

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
core  

Sharp Hardy-Sobolev Inequalities with General Weights and Remainder Terms

Journal of Inequalities and Applications, 2009
We consider a class of sharp Hardy-Sobolev inequality, where the weights are functions of the distance from a surface. It is proved that the Hardy-Sobolev inequality can be successively improved by adding to the right-hand side a lower-order term with ...
Yaotian Shen, Zhihui Chen
doaj   +2 more sources

Fractional Hardy–Sobolev Inequalities with Magnetic Fields

Advances in Mathematical Physics, 2019
A fractional Hardy–Sobolev inequality with a magnetic field is studied in the present paper. Under appropriate conditions, the achievement of the best constant of the fractional magnetic Hardy–Sobolev inequality is established.
Min Liu, Fengli Jiang, Zhenyu Guo
doaj   +1 more source

Inequalities of Hardy Type via Superquadratic Functions with General Kernels and Measures for Several Variables on Time Scales

Journal of Function Spaces, 2020
We use the properties of superquadratic functions to produce various improvements and popularizations on time scales of the Hardy form inequalities and their converses.
H. M. Rezk, H. A. Abd El-Hamid, A. M. Ahmed, Ghada AlNemer, M. Zakarya   +4 more
doaj   +1 more source

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

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