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Mar 15, 2016 at 8:19 history edited Longyearbyen
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Mar 14, 2016 at 11:28 comment added BS. related question mathoverflow.net/q/143659/6451
Mar 14, 2016 at 9:30 history edited Longyearbyen CC BY-SA 3.0
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Mar 14, 2016 at 9:28 comment added Longyearbyen you are right. f has to be assumed to be continuous. I added it.
Mar 14, 2016 at 9:22 comment added Fedor Petrov If we do not require additionally that $f$ is continuous or something like that, it may appear that $f$ is additive discontinuous function.
Mar 14, 2016 at 9:13 comment added Longyearbyen No, it is just a modulus of continuity for this second order difference quotient. If $ \omega $ is a generic modulus of continuity you get the class of smooth functions in the sense of Zygmund, that are known to be non differentiable a.e. in general.
Mar 14, 2016 at 9:08 comment added Fedor Petrov Is $\omega$ a modulus of continuity of function $f$ itself? This looks somehow strange.
Mar 14, 2016 at 9:07 review First posts
Mar 14, 2016 at 9:55
Mar 14, 2016 at 9:03 history asked Longyearbyen CC BY-SA 3.0