This article is cited in 5 papers

Some properties of the modulus of continuity

I. M. Kolodii, F. Hil'debrand

M. V. Lomonosov Moscow State University

Abstract: Necessary and sufficient conditions are derived for the continuity and semiadditivity of the modulus of continuity of a function $f(x)$ given on a compact $\Omega$ in $n$-dimensional euclidean space.

UDC: 517.5

Received: 19.05.1970

 English version: Mathematical Notes, 1971, 9:5, 285–288

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