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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Principle of maximum Fisher information from Hardy's axioms applied to statistical systems. [PDF]
Phys Rev E Stat Nonlin Soft Matter Phys, 2013 Consider a finite-sized, multidimensional system in parameter state a. The system is either at statistical equilibrium or general non-equilibrium, and may obey either classical or quantum physics. L.
Frieden BR, Gatenby RA.
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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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Hardy’s inequalities for the twisted convolution with Laguerre functions [PDF]
Journal of Inequalities and Applications, 2017 In this article, two types of Hardy’s inequalities for the twisted convolution with Laguerre functions are studied. The proofs are mainly based on an estimate for the Heisenberg left-invariant vectors of the special Hermite functions deduced by the ...
Jinsen Xiao, Jianxun He
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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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New Strengthened Carleman's Inequality and Hardy's Inequality
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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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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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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On Some Generalizations of Reverse Dynamic Hardy Type Inequalities on Time Scales
Axioms, 2022 In the present paper, we prove some new reverse type dynamic inequalities on T. Our main inequalities are proved by using the chain rule and Fubini’s theorem on time scales T. Our results extend some existing results in the literature.
Ahmed A. El-Deeb, Clemente Cesarano
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