Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

On the Lebesgue Constants

Version 1 : Received: 27 May 2024 / Approved: 27 May 2024 / Online: 27 May 2024 (11:13:14 CEST)

How to cite: Ortigueira, M. D.; Bengochea, G. On the Lebesgue Constants. Preprints 2024, 2024051746. https://doi.org/10.20944/preprints202405.1746.v1 Ortigueira, M. D.; Bengochea, G. On the Lebesgue Constants. Preprints 2024, 2024051746. https://doi.org/10.20944/preprints202405.1746.v1

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

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