On the exact constant in Jackson-Stechkin inequality for the uniform metric

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dc.creatorFoucart, S.
dc.creatorKryakin, Yu.
dc.creatorShadrin, A.
dc.date2006-12-11
dc.date.accessioned2026-07-07T06:34:29Z
dc.date.available2026-07-07T06:34:29Z
dc.descriptionThe classical Jackson-Stechkin inequality estimates the value of the best uniform approximation of a periodic function by trigonometric polynomials of degree $\le n-1$ in terms of its $r$-th modulus of smoothness $ω_r(f,δ)$. The main result of the paper is in establishing the correct order of Jackson--Stechkin constants.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0612283
dc.identifierhttp://arxiv.org/abs/math/0612283
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99541
dc.subjectClassical Analysis and ODEs
dc.subject41A17; 41A44; 42A10
dc.titleOn the exact constant in Jackson-Stechkin inequality for the uniform metric
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