# Convergence of the spectral decomposition of a function from the class $W_{p,m}^1 (G),\; p > 1$, in the vector eigenfunctions of a differential operator of the third order

### Abstract

We consider, a third-order differential operator with matrix coefficients. The absolute and uniform convergence of the orthogonal expansion of a vector function from the class $W_{p,m}^1 (G),\; p > 1$, in the vector eigenfunctions of this operator is studied and the rate of uniform convergence of this expansion on $G = [0, 1]$ is estimated.
Published

25.06.2017

How to Cite

*Ukrains’kyi Matematychnyi Zhurnal*, Vol. 69, no. 6, June 2017, pp. 719-33, https://umj.imath.kiev.ua/index.php/umj/article/view/1731.

Issue

Section

Research articles