Results 41 to 50 of about 1,472 (177)
Some Hardy's inequalities on conformable fractional calculus
Demonstratio MathematicaIn 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
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Semilinear Parabolic Equations on the Heisenberg Group with a Singular Potential
Abstract 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
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On the class of uncertainty inequalities for the coupled fractional Fourier transform
Journal of Inequalities and Applications, 2022 The coupled fractional Fourier transform F α , β $\mathcal {F}_{\alpha ,\beta}$ is a two-dimensional fractional Fourier transform depending on two angles α and β, which are coupled in such a way that the transform parameters are γ = ( α + β ) / 2 $\gamma
Firdous A. Shah +3 more
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Multidimensional Bilinear Hardy Inequalities
Doklady Mathematics, 2019 A characterization of n-dimensional bilinear Hardy inequalities in weighted Lebesgue spaces is given.
Stepanov V.D., Shambilova G.E.
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Bridging the Gap: Student Voices on Recruitment and Retention in Ecology
The Bulletin of the Ecological Society of America, EarlyView.Abstract Students entering ecology and environmental science face a variety of challenges, including limited awareness of career paths, lack of mentorship, and difficulties connecting with peers and faculty. These challenges are often amplified for students from marginalized backgrounds, who may also encounter microaggressions, underrepresentation, and
Alexis Ellis +9 more
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On some extensions of Hardy’s inequality
International Journal of Mathematics and Mathematical Sciences, 1985 We present in this paper some new integral inequalities which are related to Hardy's inequality, thus bringing into sharp focus some of the earlier results of the author.
Christopher O. Imoru
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Minimum Detection Efficiencies for a Loophole-Free Bell-type Test
, 2009 We discuss the problem of finding the most favorable conditions for closing the detection loophole in a test of local realism with a Bell inequality. For a generic non-maximally entangled two-qubit state and two alternative measurement bases we apply ...
G. Garbarino, J. S. Bell, W. Rosenfeld
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Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
wiley +1 more source
A generalization of some integral inequalities similar to Hardy inequality on time scales
Kuwait Journal of ScienceIn this paper, we prove some new dynamic inequalities similar to Hardy's inequality on time scales T. The results as special cases when T = R contain continuous inequalities similar to Hardy's inequality, and when T = Z, the results contain discrete ...
Wafy M. Hasan +3 more
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An Improved Discrete Hardy Inequality [PDF]
The American Mathematical Monthly, 2018 We improve the classical discrete Hardy inequality \begin{equation*}\label{1} \sum _{n=1}^{\infty }a_{n}^{2}\geq \left({\frac {1}{2}}\right)^{2} \sum _{n=1}^{\infty }\left({\frac {a_{1}+a_{2}+\cdots +a_{n}}{n}}\right)^{2}, \end{equation*} where $\{a_n\}_{n=1}^\infty$ is any sequence of non-negative real numbers.
Keller, Matthias (Prof. Dr.) +2 more
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