Article
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On the Lebesgue Constants
Version 1
: Received: 27 May 2024 / Approved: 27 May 2024 / Online: 27 May 2024 (11:13:14 CEST)
A peer-reviewed article of this Preprint also exists.
Ortigueira, M.D.; Bengochea, G. On Lebesgue Constants. Axioms 2024, 13, 505. Ortigueira, M.D.; Bengochea, G. On Lebesgue Constants. Axioms 2024, 13, 505.
Abstract
The obtention of simple formulae for the Lebesgue constants arising in the the classical Fourier series approximation is presented. Both even and odd cases are treated enlarging Fejér result. Asymptotic formulae are also obtained.
Keywords
Lebesgue constant; Dirichlet kernel; Fourier series approximation
Subject
Computer Science and Mathematics, Other
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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