Topological stability of continuous functions with respect to averagings
classification
🧮 math.GN
math.GTmath.STstat.TH
keywords
averagingscontinuousfunctionsmathbbrespectstabilitytopologicalconditions
read the original abstract
We present sufficient conditions for topological stability of continuous functions $f:\mathbb{R}\to\mathbb{R}$ having finitely many local extrema with respect to averagings by discrete measures with finite supports.
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