On a Discrete Analogue of Inequalities of Opial and Yang

Cheng-Ming Lee

doi:10.4153/CMB-1968-010-7

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Let be a non-decreasing sequence of non-negative numbers, and let U∘=0. Then we have

Yang [3] proved the following integral inequality:

If y(x) is absolutely continuous on a≤x≤X, with y(a) = 0, then

References

1. Hardy, , Littlewood, and Pólya, , Inequalities p. 17.Google Scholar

2. Wong, James S.W., A discrete analogue of Opial's inequality. Can. Math. Bull. 10 (1967) 115-118.10.4153/CMB-1967-013-3Google Scholar

3. Yang, Gou-Sheng, On a certain result of Z. Opial, Jap, J. of Math. 42(1966) 78-83.Google Scholar

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On a Discrete Analogue of Inequalities of Opial and Yang

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