Results 11 to 20 of about 155 (141)

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

On the extended Hardy's inequality

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   +1 more source

Some new Hardy-type inequalities on time scales

open access: yesAdvances 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

Some reverse inequalities of Hardy type on time scales

open access: yesAdvances 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

Weighted dynamic Hardy-type inequalities involving many functions on arbitrary time scales

open access: yesJournal 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

On Bicheng-Debnath's generalizations of Hardy's integral inequality

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   +1 more source

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   +1 more source

Harmonizing Social Impact Assessment in the Bioeconomy: A Cross‐Regional Fuzzy‐Delphi Approach

open access: yesCorporate Social Responsibility and Environmental Management, EarlyView.
ABSTRACT The bioeconomy transition risks underrepresenting social sustainability, while existing Social Life Cycle Assessment (S‐LCA) applications remain insufficient for comparison and decision support due to heterogeneous and non‐standardized selection of social impact categories. This study proposes a cross‐regional baseline set of impact categories
Julia Lessa Feitosa Virgolino   +2 more
wiley   +1 more source

Semilinear Parabolic Equations on the Heisenberg Group with a Singular Potential

open access: yesAbstract and Applied Analysis, 2012
We discuss the asymptotic behavior of solutions for semilinear parabolic equations on the Heisenberg group with a singular potential. The singularity is controlled by Hardy's inequality, and the nonlinearity is controlled by Sobolev's inequality. We also
Houda Mokrani, Fatimetou Mint Aghrabatt
doaj   +1 more source

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