Geodesic
A General and Sharpened form of Opial's Inequality
Canadian mathematical bulletin, Tome 17 (1974) no. 3, pp. 385-389

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Z. Opial [11] proved in 1960 the following theorem:Theorem 1. If u is a continuously differentiable function on [0, b], and if u(0)= u(b)=0 and u(x) > 0 for x ∊ (0, b), then 1 where the constant b/4 is the best possible. 
Shum, D. T. A General and Sharpened form of Opial's Inequality. Canadian mathematical bulletin, Tome 17 (1974) no. 3, pp. 385-389. doi: 10.4153/CMB-1974-071-5
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     title = {A {General} and {Sharpened} form of {Opial's} {Inequality}},
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