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Erdős problem 1125

Let f:R→Rf:\mathbb{R}\to \mathbb{R} be such that 2f(x)≤f(x+h)+f(x+2h)2f(x) \leq f(x+h)+f(x+2h) for every x∈Rx\in \mathbb{R} and h>0h>0. Must ff be monotonic?

Erdős Problems records this as proved (Lean).

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  1. Sourceerdos-problems
  2. StatementRetained
  3. Formal1 retained
  4. Resolutionproved (Lean)
  5. WorkNone recorded
  6. DecisionNone here
  7. The questionNot reached
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