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

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:70 Issue:1
The uniform convergence of Fourier series expansions of a Sturm-Liouville problem with boundary cond...

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

Authors : Sertaç GÖKTAŞ, Emir Ali MARİS

Pages : 205-215

Doi:10.31801/cfsuasmas.721513

View : 67 | Download : 29

Publication Date : 2021-06-30

Article Type : Research Paper

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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