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

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The 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.
20 pages

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Classical Analysis and ODEs, 41A17; 41A44; 42A10

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http://salesiana.dossiersoluciones.com/handle/123456789/99541

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612283
 http://arxiv.org/abs/math/0612283

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arXiv