Dergiler / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2021 / Cilt: 70 - Sayı: 1

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

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

Serdar GÖKTAŞ, Emir Ali MARİS

Sayfa
205–215
DOI
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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.