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 : 17 | Download : 26

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