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arXiv · 1509.06064

Topological stability of continuous functions with respect to averagings

Sergiy Maksymenko·Oksana Marunkevych
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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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Sergiy Maksymenko, Oksana Marunkevych. 2015-09-20. Topological stability of continuous functions with respect to averagings. https://arxiv.org/abs/1509.06064

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