Results 1 to 10 of about 1,448 (158)
The refinement and generalization of Hardy’s inequality in Sobolev space [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we refine the proof of Hardy’s inequality in (Evans in Partial Differential Equations, 2010, Hardy in Inequalities, 1952) and extend Hardy’s inequality from two aspects. That is to say, we extend the integral estimation function from u|x| $
Xiaomin Xue, Fushan Li
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On Carleson’s inequality [PDF]
Journal of Inequalities and Applications, 2018 We present a new proof of Hardy’s inequality by giving an Lp $L^{p}$ version of Carleson’s inequality.
Ern Gun Kwon
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Hardy-type inequalities in fractional h-discrete calculus [PDF]
Journal of Inequalities and Applications, 2018 The first power weighted version of Hardy’s inequality can be rewritten as ∫0∞(xα−1∫0x1tαf(t)dt)pdx≤[pp−α−1]p∫0∞fp(x)dx,f≥0,p≥1 ...
Lars-Erik Persson +2 more
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New Strengthened Carleman's Inequality and Hardy's Inequality [PDF]
Journal of Inequalities and Applications, 2007 In this note, new upper bounds for Carleman's inequality and Hardy's inequality are established.
Ling Zhu, Haiping Liu
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Bulletin of Mathematical Sciences, 2016 We prove geometric $$L^p$$ L p versions of Hardy’s inequality for the sub-elliptic Laplacian on convex domains $$\Omega $$ Ω in the Heisenberg group $$\mathbb {H}^n$$ H n , where convex is meant in the Euclidean sense.
Simon Larson
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Generalizations of Hardy Type Inequalities by Abel–Gontscharoff’s Interpolating Polynomial
Mathematics, 2021 In this paper, we extend Hardy’s type inequalities to convex functions of higher order. Upper bounds for the generalized Hardy’s inequality are given with some applications.
Kristina Krulić Himmelreich +3 more
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Generalizations of Hardy-Type Inequalities by Montgomery Identity and New Green Functions
Axioms, 2023 In this paper we extend general Hardy’s inequality by appropriately combining Montgomery’s identity and Green functions. Related Grüss and Ostrowski-type inequalities are also derived.
Kristina Krulić Himmelreich +3 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. +4 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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Sharp Hardy inequalities in the half space with trace remainder term [PDF]
, 2011 In this paper we deal with a class of inequalities which interpolate the Kato's inequality and the Hardy's inequality in the half space. Starting from the classical Hardy's inequality in the half space $\rnpiu =\R^{n-1}\times(0,\infty)$, we show that, if
Adele Ferone +6 more
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