Results 11 to 20 of about 481,631 (129)

On the extended Hardy's inequality [PDF]

open access: yesInternational 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   +2 more sources

On Bicheng-Debnath's generalizations of Hardy's integral inequality [PDF]

open access: yesInternational 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   +2 more sources

On some extensions of Hardy’s inequality [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1985
We present in this paper some new integral inequalities which are related to Hardy's inequality, thus bringing into sharp focus some of the earlier results of the author.
Christopher O. Imoru
doaj   +2 more sources

Probability theoretic generalizations of Hardy's and Copson's inequality [PDF]

open access: yes, 2023
A short proof of the classic Hardy inequality is presented for p-norms with p>1. Along the lines of this proof a sharpened version is proved of a recent generalization of Hardy's inequality in the terminology of probability theory.
Klaassen, C.A.J.
core   +1 more source

A Variety of Nabla Hardy’s Type Inequality on Time Scales

open access: yesMathematics, 2022
The primary goal of this research is to prove some new Hardy-type ∇-conformable dynamic inequalities by employing product rule, integration by parts, chain rule and (γ,a)-nabla Hölder inequality on time scales.
Ahmed A. El-Deeb   +3 more
doaj   +1 more source

Paley and Hardy's inequalities for the Fourier-Dunkl expansions [PDF]

open access: yesArab Journal of Mathematical Sciences
Purpose – Paley's and Hardy's inequality are proved on a Hardy-type space for the Fourier–Dunkl expansions based on a complete orthonormal system of Dunkl kernels generalizing the classical exponential system defining the classical Fourier series. Design/
Anis Elgarna
doaj   +1 more source

Hardy's inequality and Green function on metric measure spaces

open access: yes, 2021
Cao J, Grigoryan A, Liu L. Hardy's inequality and Green function on metric measure spaces. Journal of Functional Analysis. 2021;281(3): 109020.We prove an abstract form of Hardy's inequality for local and non-local regular Dirichlet forms on metric ...
Grigoryan, Alexander   +5 more
core   +1 more source

Two-weight dyadic Hardy's inequalities [PDF]

open access: yes, 2022
We present various results concerning the two-weight Hardy's inequality on infinite trees. Our main scope is to survey known characterizations (and proofs) for trace measures, as well as to provide some new ones.
Mozolyako, Pavel   +7 more
core   +1 more source

A Note on Hardy's Inequality

open access: yes, 1993
We prove a two-sided version of Hardy's inequality by methods arising from the proof of the Littlewood conjecture.
Ivo Klemes
core   +1 more source

Hardy’s inequalities and integral operators on Herz-Morrey spaces

open access: yesOpen 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

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