Results 21 to 30 of about 235 (196)
Some new Hardy-type inequalities on time scales
Advances in Difference Equations, 2020 In this paper, we will prove some new dynamic inequalities of Hardy-type on time scales. Some of the integral and difference inequalities that will be derived from our results in the continuous and discrete cases are original.
Ahmed A. El-Deeb +2 more
doaj +1 more source
Weighted Sobolev spaces on curves [PDF]
, 2002 45 pages, no figures.-- MSC1987 codes: 41A10, 46E35, 46G10.MR#: MR1934626 (2003j:46038)Zbl#: Zbl 1019.46026In this paper we present a definition of weighted Sobolev spaces on curves and find general conditions under which the spaces are complete for non ...
Pestana, Domingo +3 more
core +1 more source
On the extended Hardy's inequality
International Journal of Mathematics and Mathematical Sciences, 2001 We generalize a strengthened version of Hardy's inequality and give a new simpler proof.
Yan Ping
doaj +1 more source
Weighted dynamic Hardy-type inequalities involving many functions on arbitrary time scales
Journal of Inequalities and Applications, 2022 The objective of this paper is to prove some new dynamic inequalities of Hardy type on time scales which generalize and improve some recent results given in the literature.
Ahmed A. El-Deeb +3 more
doaj +1 more source
Some reverse inequalities of Hardy type on time scales
Advances in Difference Equations, 2020 In this article, we obtain some new dynamic inequalities of Hardy type on time scales. The main results are derived using Fubini’s theorem and the chain rule on time scales.
A. A. El-Deeb +2 more
doaj +1 more source
On Bicheng-Debnath's generalizations of Hardy's integral inequality
International Journal of Mathematics and Mathematical Sciences, 2001 We consider Hardy's integral inequality and we obtain some new generalizations of Bicheng-Debnath's recent results. We derive two distinguished classes of inequalities covering all admissible choices of parameter k from Hardy's original relation ...
Aleksandra Cižmešija, Josip Pecaric
doaj +1 more source
Some generalizations and improvements of discrete Hardy’s inequality
, 2012 In this paper, by using Jensen’s inequality and Hadamard’s integral inequality for a convex function, some generalizations and improvements of discrete Hardy’s inequality and Carleman’s inequality are ...
Liu, Jianzhong, Zhang, Xuande, Jiang, Bo
core +1 more source
Note on the Carleman’s inequality and Hardy’s inequality
, 2010 In this article, using the properties of power mean and induction, new strengthened Carleman’s inequality and Hardy’s inequality are obtained. We also give an answer to the conjectures proposed by X. Yang in the literature Yang (2001) [5]
Zhongxue, Lü, Youcai, Gao, Yuxiang, Wei
core +1 more source
Hardy’s inequalities and integral operators on Herz-Morrey spaces
Open Mathematics, 2020 We obtain some estimates for the operator norms of the dilation operators on Herz-Morrey spaces. These results give us the Hardy’s inequalities and the mapping properties of the integral operators on Herz-Morrey spaces.
Yee Tat-Leung, Ho Kwok-Pun
doaj +1 more source
Characterizations of weighted dynamic Hardy-type inequalities with higher-order derivatives
Journal of Inequalities and Applications, 2021 In this paper, we establish some necessary and sufficient conditions for the validity of a generalized dynamic Hardy-type inequality with higher-order derivatives with two different weighted functions on time scales.
S. H. Saker, R. R. Mahmoud, K. R. Abdo
doaj +1 more source