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Double functional inequation : f(3x-2) <= f(x) <= f(2x-1).

Source: Tuymaada 2002, day 2, problem 2. - Author : A. Golovanov.

May 3, 2007
functioninductionalgebra proposedalgebra

Problem Statement

Find all the functions f(x),f(x), continuous on the whole real axis, such that for every real xx f(3x−2)≤f(x)≤f(2x−1).f(3x-2)\leq f(x)\leq f(2x-1).
Proposed by A. Golovanov
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