Results 11 to 20 of about 5,533 (137)
Factorization of Cesàro operator and related inequalities
Journal of Inequalities and Applications, 2021 In this paper, we introduce two factorizations for the Cesàro matrix of order n based on Cesàro and gamma matrices. The results of these factorizations are new inequalities, one of which is a generalized version of the well-known Hardy’s inequality ...
Hadi Roopaei
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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. +4 more
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Bell's theorem with and without inequalities for the three-qubit Greenberger-Horne-Zeilinger and W states [PDF]
, 2002 A proof of Bell's theorem without inequalities valid for both inequivalent classes of three-qubit entangled states under local operations assisted by classical communication, namely Greenberger-Horne-Zeilinger (GHZ) and W, is described.
A. Acín +37 more
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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 +3 more
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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
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Paley and Hardy's inequalities for the Fourier-Dunkl expansions [PDF]
Arab Journal of Mathematical SciencesPurpose – 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 +2 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 +3 more
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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 +3 more
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