Boundedness of Lebesgue Constants and Interpolating Faber Bases

Background. We investigate the relationship between the boundedness of Lebesgue constants for the Lagrange polynomial interpolation on a compact subset of \[\mathbb R\] and the existence of a Faber basis in the space of continuous functions on this compact set. Objective. The aim of the paper is...

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Bibliographic Details
Main Authors: Viktoriia V. Bilet, Oleksiy A. Dovgoshey, Jürgen Prestin
Format: Article
Language:English
Published: Igor Sikorsky Kyiv Polytechnic Institute 2017-09-01
Series:Наукові вісті Національного технічного університету України "Київський політехнічний інститут"
Subjects:
Online Access:http://bulletin.kpi.ua/article/view/108444