Results 11 to 20 of about 406 (187)
On the extended Hardy's inequality [PDF]
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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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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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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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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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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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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A Geometrical Version of Hardy's Inequality
Journal of Functional Analysis, 2002 This paper contains a version of Hardy's inequality in a domain \(\Omega \subset \mathbf{R}^{n}\)\ which involves the distance to the boundary and the volume of \(\Omega \). A special case of the main result asserts that \[ \int_{\Omega }\left|\nabla u\right|^{2} dx\geq \frac{n}{4} \int_{\Omega }\int_{S^{n-1}}\frac{1}{\rho _{\nu }^{2}(x)}d\omega (\nu ...
Hoffmann-Ostenhof, Maria +2 more
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On some extensions of Hardy’s inequality [PDF]
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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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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