Estimates of the local convergence rate of spectral expansions for even-order differential operators |
| |
Authors: | I S Lomov A S Markov |
| |
Institution: | 19781. Moscow State University, Moscow, Russia
|
| |
Abstract: | We study the convergence rate of biorthogonal series expansions of functions in systems of root functions of a wide class of even-order ordinary differential operators defined on a finite interval. These expansions are compared with the trigonometric Fourier series expansions of the same functions in the integral or uniform metric on an arbitrary interior compact set of the main interval as well as on the entire interval. We show the dependence of the equiconvergence rate of these expansions on the distance from the compact set to the boundary of the interval, on the coefficients of the differential operation, and on the existence of infinitely many associated functions in the system of root functions. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|