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A General and Sharpened form of Opial's Inequality

Published online by Cambridge University Press:  20 November 2018

D. T. Shum
D. T. Shum*
Affiliation:
University of Toronto, Toronto, Ontario
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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.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 17 , Issue 3 , 01 September 1974 , pp. 385 - 389
Copyright
Copyright © Canadian Mathematical Society 1974

References

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