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

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Date

2021-06-30

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Ankara Üniversitesi Fen Fakültesi

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.

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Keywords

Eigenvalues, Eigenfunctions, Uniform convergence of spectral expansion.

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