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Two Problems on Convex Functions

Published online by Cambridge University Press:  03 November 2016

A. S. Besicovitch  and
Roy O. Davies
A. S. Besicovitch
Affiliation:
Trinity College, Cambridge
Roy O. Davies
Affiliation:
The University, Leicester
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Extract

Given a positive continuous increasing function f(x), 0 ≤ x < 1, approximations by a convex function g(x) from below and from above are considered. The approximation is measured by the ratio of the integrals

Type
Research Article
Information
The Mathematical Gazette , Volume 49 , Issue 367 , February 1965 , pp. 66 - 69
Copyright
Copyright © Mathematical Association 1965

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References

page 66 note * See the Definitions at the end.