Geodesic
On Integral Inequalities Related to Hardy's
Canadian mathematical bulletin, Tome 14 (1971) no. 2, pp. 225-230

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The purpose of this note is to provide integral inequalities which are related to Hardy's ([2] and [3, Theorem 330]). This latter result we state asTheorem 1. Let p>1, r≠1, and ƒ(x) be nonnegative and Lebesgue integrable on [0, a] or [a, ∞] for every a>0, according as r> 1 or r< 1. If F(x) is defined by 1 then 2 unless f≡0. The constant is the best possible. 
Shum, D. T. On Integral Inequalities Related to Hardy's. Canadian mathematical bulletin, Tome 14 (1971) no. 2, pp. 225-230. doi: 10.4153/CMB-1971-038-4
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     title = {On {Integral} {Inequalities} {Related} to {Hardy's}},
     journal = {Canadian mathematical bulletin},
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     year = {1971},
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     doi = {10.4153/CMB-1971-038-4},
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