Results 11 to 20 of about 235 (196)

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

Some Hardy's inequalities on conformable fractional calculus

open access: yesDemonstratio Mathematica
In this article, we will demonstrate some Hardy’s inequalities by utilizing Hölder inequality, integration by parts, and chain rule of the conformable fractional calculus.
AlNemer Ghada   +5 more
doaj   +2 more sources

Lyapunov's Type Inequalities for Fourth-Order Differential Equations [PDF]

open access: yesAbstract and Applied Analysis, 2012
For a fourth-order differential equation, we will establish some new Lyapunov-type inequalities, which give lower bounds of the distance between zeros of a nontrivial solution and also lower bounds of the distance between zeros of a solution and/or its ...
Samir H. Saker
doaj   +2 more sources

Hardy's inequality and its descendants:a probability approach [PDF]

open access: yes, 2021
We formulate and prove a generalization of Hardy’s inequality [27] in terms of random variables and show that it contains the usual (or familiar) continuous and discrete forms of Hardy’s inequality.
Wellner, J.A., Klaassen, C.A.J.
core   +1 more source

Generalizations of Integral Inequalities Similar to Hardy’s Inequality

open access: yes, 2021
In this paper, we established the generalizations of integral inequalities similar to Hardy’s inequality. Keywords:    Hardy’s inequality; Integral inequalities;  similar version;  Hlder’s inequality;  ...
Nshizirungu, Gabriel   +2 more
core   +2 more sources

HARDY’S INEQUALITY FOR FUNCTIONS VANISHING ON A PART OF THE BOUNDARY [PDF]

open access: yes, 2014
. We develop a geometric framework for Hardy’s inequality on a bounded domain when the functions do vanish only on a closed portion of the boundary ...
Robert Haller-dintelmann   +5 more
core   +1 more source

Some new generalizations of Hardy's integral inequality

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
We have studied some new generalizations of Hardy's integral inequality using the generalized Holder's inequality.
S. K. Sunanda, C. Nahak, S. Nanda
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

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

Sharp nonexistence results for a linear elliptic inequality involving Hardy and Leray potentials [PDF]

open access: yes, 2011
We deal with nonnegative distributional supersolutions for a class of linear elliptic equations involving inverse-square potentials and logarithmic weights.
Roberta Musina   +8 more
core   +1 more source

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