The uniform convergence of Fourier series expansions of a Sturm-Liouville problem with boundary condition which contains the eigenparameter

Year 2021, Volume: 70 Issue: 1, 205 - 215, 30.06.2021

Sertaç Göktaş , Emir Ali Maris

https://doi.org/10.31801/cfsuasmas.721513

Abstract

This paper is devoted to investigating the uniform convergence conditions of Fourier series expansions of continuous functions in terms of eigenfunctions of a Sturm-Liouville problem with eigenparameter in one of the boundary conditions on a closed interval. Such problems are quite common in mathematical physics problems.

Keywords

Eigenvalues, eigenfunctions, uniform convergence of spectral expansion.

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