2018
Том 70
№ 12

Topological stability of the averagings of functions

Abstract

We present sufficient conditions for the topological stability of the averagings of piecewise smooth functions $f : R \rightarrow R$ with finitely many extrema with respect to discrete measures with finite supports.

Citation Example: Maksimenko S. I., Marunkevych O. V. Topological stability of the averagings of functions // Ukr. Mat. Zh. - 2016. - 68, № 5. - pp. 625-633.