A STUDY ON THE UNIFORM CONVERGENCE OF SPECTRAL EXPANSIONS FOR CONTINUOUS FUNCTIONS ON A STURM-LIOUVILLE PROBLEM

被引：2

作者：

Maris, Emir Ali ^{[1
]}

Goktas, Sertac ^{[2
]}

机构：

[1] Mersin Univ, Vocat Sch Tech Sci, TR-33343 Mersin, Turkey

[2] Mersin Univ, Dept Math, TR-33343 Mersin, Turkey

来源：

MISKOLC MATHEMATICAL NOTES | 2019年 / 20卷 / 02期

关键词：

differential operator; eigenvalues; root functions; uniform convergence of spectral expansion; FOURIER-SERIES; PARAMETER;

D O I：

10.18514/MMN.20??.2982

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper is about investigating the uniform convergence conditions of spectral expansions of continuous functions in terms of root functions of a spectral problem with the same eigenparameter in the second-order differential equation and depending on quadratically in one of the boundary conditions on a closed interval.

引用

页码：1063 / 1080

页数：18

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