Results 11 to 20 of about 5,566 (171)

Some new generalizations of Hardy's integral inequality

International 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

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

Mathematics, 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, Samer D. Makharesh, Sameh S. Askar, Jan Awrejcewicz   +3 more
doaj   +1 more source

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

Arab 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
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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, Hamza A. Elsennary, Dumitru Baleanu   +2 more
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Hardy's paradox and violation of a state-independent Bell inequality in time [PDF]

, 2010
Tests such as Bell's inequality and Hardy's paradox show that joint probabilities and correlations between distant particles in quantum mechanics are inconsistent with local realistic theories.
Almeida, Marcelo P., Barbieri, Marco, Broome, Matthew A., Fedrizzi, Alessandro, White, Andrew G.   +4 more
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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, Karim A. Mohamed, Dumitru Baleanu, Haytham M. Rezk   +3 more
doaj   +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
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Ground states of coupled critical Choquard equations with weighted potentials [PDF]

Opuscula Mathematica, 2022
In this paper, we are concerned with the following coupled Choquard type system with weighted potentials \[\begin{cases} -\Delta u+V_{1}(x)u=\mu_{1}(I_{\alpha}\!\ast\![Q(x)|u|^{\frac{N+\alpha}{N}}])Q(x)|u|^{\frac{\alpha}{N}-1}u+\beta(I_{\alpha}\!\ast\![Q(
Gaili Zhu, Chunping Duan, Jianjun Zhang, Huixing Zhang   +3 more
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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, H. A. El-Sennary, Zareen A. Khan   +2 more
doaj   +1 more source

The relation between Hardy's non-locality and violation of Bell inequality

, 2010
We give a analytic quantitative relation between Hardy's non-locality and Bell operator. We find that Hardy's non-locality is a sufficient condition for violation of Bell inequality, the upper bound of Hardy's non-locality allowed by information ...
Bell J S, Chen X B, Choudhary S K, Dam W van, Lu X S, Navascués M, Sun Y H, Wen H, Yang Xiang   +8 more
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