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Erdős problem 1125

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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?

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Problem row
sha256:5fa6f827519cafb244ac2657da0640ebbd7bc01024fe24a636753e2ace2b059a
Metadata
sha256:fa6c12c57a046b2ac2a376bbc69081c97870d966c916098c5c1cfd062d8142be
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:562b7234134a74c6899184304c5a99397263f3474c666292b37955b4f0231236
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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