Geodesic
A Discrete Analogue of Opial's Inequality
Canadian mathematical bulletin, Tome 10 (1967) no. 1, pp. 115-118

Voir la notice de l'article provenant de la source Cambridge University Press

In a number of papers [1] - [7], successively simpler proofs were given for the following inequality of Opial [1], in case p=1.Theorem 1. If x(t) is absolutely continuous with x(0)=0, then for any p ≧ 0,(1) Equality holds only if x(t) = Kt for some constant K. 
Wong, James S. W. A Discrete Analogue of Opial's Inequality. Canadian mathematical bulletin, Tome 10 (1967) no. 1, pp. 115-118. doi: 10.4153/CMB-1967-013-3
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[1] 1. Opial, Z., Sur une inequalite. Ann. Polon. Math., 8 (1960), pages 29-32. Google Scholar

[2] 2. Olech, C., A simple proof of a certain result of Z. Opial. Ann. Polon. Math., 8 (1966), pages 61-63. Google Scholar

[3] 3. Beesack, P. R., On an integral inequality of Z. Opial. Trans. Amer. Math. Soc., 104(1966), pages 470-475. Google Scholar | DOI

[4] 4. Levinson, N., On an inequality of Opial and Beesack. Proc. Amer. Math. Soc, 15(1966), pages 565-566 Google Scholar | DOI

[5] 5. Mallows, C. Li., An even simpler proof of OpiaUs inequality. Proc. Amer. MathSoc, 16 (1966), page 173. Google Scholar

[6] 6. Pederson, R. N., On an inequality of Opial, Beesack and Levinson. Proc Amer. MathSoc, 15 (1966), page 174, Google Scholar

[7] 7. Hua, L. K., On an inequality of Opial. ScientiaSinica, 14 (1966), pages 789-790. Google Scholar

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