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Title: Concave Shells of Continuity Modules
Other Titles: Вогнутые оболочки модулей непрерывности
Authors: Pichugov, Sergey A.
Keywords: concave shells
module of continuity
увігнуті оболонки
модулі безперервності
Issue Date: 2019
Publisher: Springer
Citation: Pichugov S. A. Concave Shells of Continuity Modules. Ukrainian Mathematical Journal. 2019. 71(5), P. 819–824. DOI: 10.1007/s11253-019-01678-9. (Ukrainian Original Vol. 71, No. 5, May, 2019).
Abstract: EN: We prove the inequality ω¯(t)≤infs>0(ω(s2)+ω(s)st), where ω(t) is a function of the modulus-of-continuity type and ω¯(t) is its smallest concave majorant. The consequences obtained for Jackson’s inequalities in C2πare presented.
Description: S. Pichugov: ORCID 0000-0002-4263-4429
Other Identifiers: DOI: 10.1007/s11253-019-01678-9
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