Concave Shells of Continuity Modules
Loading...
Date
2019
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
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
Keywords
concave shells, module of continuity, увігнуті оболонки, модулі безперервності, КПМ
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).