f(t)-f(s)t-s≤f(u)-f(s)u-s≤f(u)-f(t)u-t for convex f
If f is convex in (a,b) and if a<s<t<u<b, then
f(t)-f(s)t-s≤f(u)-f(s)u-s≤f(u)-f(t)u-t. | (1) |
Title | f(t)-f(s)t-s≤f(u)-f(s)u-s≤f(u)-f(t)u-t for convex f |
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Canonical name | fracftfstsleqfracfufsusleqfracfuftutForConvexF |
Date of creation | 2013-03-22 18:25:32 |
Last modified on | 2013-03-22 18:25:32 |
Owner | yesitis (13730) |
Last modified by | yesitis (13730) |
Numerical id | 4 |
Author | yesitis (13730) |
Entry type | Theorem |
Classification | msc 26A51 |