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arXiv:1509.06064 [math.GN]AbstractReferencesReviewsResources

Topological stability of continuous functions with respect to averagings

Sergiy Maksymenko, Oksana Marunkevych

Published 2015-09-20Version 1

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.

Comments: 11 pages
Categories: math.GN, math.GT, math.ST, stat.TH
Subjects: 26A99, 60G35
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