A Riemann sum upper bound in the Riemann-Lebesque theorem

Simple item page
dc.creatorvan Putten, Maurice H. P. M.
dc.date1997-02-05
dc.date.accessioned2026-07-07T09:13:42Z
dc.date.available2026-07-07T09:13:42Z
dc.descriptionThe Riemann-Lebesque Theorem is commonly proved in a few strokes using the theory of Lebesque integration. Here, the upper bound $2π|c_k(f)|\le S_k(f)-s_k(f)$ for the Fourier coefficients $c_k$ is proved in terms of majoring and minoring Riemann sums $S_k(f)$ and $s_f(k)$, respectively, for Riemann integrable functions $f(x)$. This proof has been used in a course on methods of applied mathematics.
dc.descriptionLaTex, 2 pages, to appear in the Classroom Notes section in SIAM Review
dc.identifierhttps://arxiv.org/abs/funct-an/9702003
dc.identifierhttp://arxiv.org/abs/funct-an/9702003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152422
dc.subjectFunctional Analysis
dc.titleA Riemann sum upper bound in the Riemann-Lebesque theorem
dc.typetext

Files

Collections

arXiv