Some properties of the modulus of continuity

descriptionPublicationkeyboard_double_arrow_right Article 01 May 1971 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Notes of the Academy of Sciences of the USSR, volume 9, pages 285-288 (issn: 0001-4346, eissn: 1573-8876,

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Authors: Kolodiĭ, I. M.; Hil'debrand, F.;

doi: 10.1007/bf01094353

Some properties of the modulus of continuity

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Abstract

Necessary and sufficient conditions are derived for the continuity and semiadditivity of the modulus of continuity of a functionf(x) given on a compact Ω in n-dimensional euclidean space.

Related Organizations

Lomonosov Moscow State University
Russian Federation

Keywords

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable

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