Concave Shells of Continuity Modules

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Springer

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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.

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S. Pichugov: ORCID 0000-0002-4263-4429

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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).

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