Geodesic
Some Further Extensions of Hardy's Inequality
Canadian mathematical bulletin, Tome 24 (1981) no. 4, pp. 393-400

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Let p > l, r≠1, and let f(x) be a non-negative function defined in [0, ∞). The following inequality is due to G. H. Hardy [5, Ch. IX]: 1.1 where according as r>1 or r < l. 
Chan, Ling-Yau. Some Further Extensions of Hardy's Inequality. Canadian mathematical bulletin, Tome 24 (1981) no. 4, pp. 393-400. doi: 10.4153/CMB-1981-061-7
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     author = {Chan, Ling-Yau},
     title = {Some {Further} {Extensions} of {Hardy's} {Inequality}},
     journal = {Canadian mathematical bulletin},
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     year = {1981},
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     number = {4},
     doi = {10.4153/CMB-1981-061-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1981-061-7/}
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