Results 21 to 30 of about 406 (187)
Probability theoretic generalizations of Hardy's and Copson's inequality [PDF]
, 2023 A short proof of the classic Hardy inequality is presented for p-norms with p>1. Along the lines of this proof a sharpened version is proved of a recent generalization of Hardy's inequality in the terminology of probability theory.
Klaassen, C.A.J.
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Proceedings of the American Mathematical Society, 1990 Here the following Hardy inequalities are studied \[ ∑
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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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The Prehistory of the Hardy Inequality
The American Mathematical Monthly, 2006 (2006). The Prehistory of the Hardy Inequality. The American Mathematical Monthly: Vol. 113, No. 8, pp. 715-732.
Kufner, Alois +2 more
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Synchronization Analysis of Multiple Integral Inequalities Driven by Steklov Operator
Fractal and Fractional, 2021 We construct a subclass of Copson’s integral inequality in this article. In order to achieve this goal, we attempt to use the Steklov operator for generalizing different inequalities of the Copson type relevant to the situations ρ>1 as well as ...
Wedad Albalawi, Zareen A. Khan
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Hardy's inequality and Green function on metric measure spaces
, 2021 Cao J, Grigoryan A, Liu L. Hardy's inequality and Green function on metric measure spaces. Journal of Functional Analysis. 2021;281(3): 109020.We prove an abstract form of Hardy's inequality for local and non-local regular Dirichlet forms on metric ...
Grigoryan, Alexander +2 more
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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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Journal of the European Mathematical Society, 2004 In this well-written paper, the authors study operators of the form $L=-\\Delta -µd^{-2}$, where $d(x)={\\rm dist}(x,\\Sigma)$, $µ\\in R$ and $\\Sigma \\subset R^{n}$. More precisely, they study inequalities which suggest that the operator $L$ has a positive first eigenvalue.
Davila, Juan, Dupaigne, Louis
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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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Czechoslovak Mathematical Journal, 2014 Some q-analysis variants of Hardy type inequalities of the form \int_0^b (x^{α-1} \int_0^x t^{-α} f(t) d_qt)^p d_qx \leq C \int_0^b f^p(t) d_qt with sharp constant C are proved and discussed. A similar result with the Riemann-Liouville operator involved is also proved.
Maligranda, Lech +2 more
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