Functions measuring smoothness and the constants in Jackson--Stechkin theorem

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dc.creatorBabenko, A. G.
dc.creatorKryakin, Yu. V.
dc.date2008-09-01
dc.date.accessioned2026-07-07T09:59:42Z
dc.date.available2026-07-07T09:59:42Z
dc.descriptionThis paper is devoted to the equivalence of two type direct theorems in Approximation Theory: a) for smooth functions (Favard's estimates). b) for arbitrary continuous function (Jackson--Stechkin estimates). Specifically, we will show that Jackson--Stechkin inequality with optimal respect to the order of smoothness constants follows from Favard's inequality.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/0809.0178
dc.identifierhttp://arxiv.org/abs/0809.0178
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168119
dc.subjectClassical Analysis and ODEs
dc.subject41A17, 41A44, 42A10
dc.titleFunctions measuring smoothness and the constants in Jackson--Stechkin theorem
dc.typetext

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