Equiconvergence Theorem for Integral Operator on a Graph with Cycle

被引：0

作者：

Burlutskaya M.S. ^{[1
]}

Grigorieva E.I. ^{[1
]}

机构：

[1] Voronezh State University, Voronezh

来源：

Lobachevskii Journal of Mathematics | 2024年 / 45卷 / 1期

关键词：

eigen- and adjoint functions; equiconvergence; graph; integral operator; trigonometric Fourier series;

D O I：

10.1134/S1995080224010098

中图分类号：

学科分类号：

摘要：

Abstract: The paper deals with integral operators on the simplest geometric two-edge graph containing a cycle. The class of integral operators with range of values satisfying the continuity condition at the internal node of the graph is described. The equiconvergence of expansions of the operator in eigen- and adjoint functions and the trigonometric Fourier series is established. © Pleiades Publishing, Ltd. 2024.

引用

页码：383 / 389

页数：6

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