A Discrete Analogue of Opial's Inequality
Canadian mathematical bulletin, Tome 10 (1967) no. 1, pp. 115-118
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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
@article{10_4153_CMB_1967_013_3,
author = {Wong, James S. W.},
title = {A {Discrete} {Analogue} of {Opial's} {Inequality}},
journal = {Canadian mathematical bulletin},
pages = {115--118},
year = {1967},
volume = {10},
number = {1},
doi = {10.4153/CMB-1967-013-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-013-3/}
}
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