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| Title: | Mathematics at DEC |
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| Moderator: | RUSURE::EDP |
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| Created: | Mon Feb 03 1986 |
| Last Modified: | Fri Jun 06 1997 |
| Last Successful Update: | Fri Jun 06 1997 |
| Number of topics: | 2083 |
| Total number of notes: | 14613 |
1790.0. "Crux Mathematicorum 1861" by RUSURE::EDP (Always mount a scratch monkey.) Mon Sep 20 1993 15:04
Proposed by Walther Janous, Ursulinengymnasium, Inssbruck, Austria.
Let f: R+ -> R be an increasing and concave function from the positive
real numbers to the reals. Prove that if 0 < x <= y <= z and n is a
positive integer then
(z^n-x^n)f(y) >= (z^n-y^n)f(x) + (y^n-x^n)f(z).
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