Adjoining a Constant Function to n-Dimensional Chebyshev Space

This paper is concerned with extending a Chebyshev system of n continuous nonconstant functions into a set of n+1 functions including a constant function. Necessary and sufficient conditions for the new set to be a Chebyshev system are discussed and some results are obtained.

Bibliographic Details
Main Author: Mansour Alyazidi-Asiry
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2016/4813979
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spelling doaj-8feefd93368849279dba8bf8ca2cd3c92020-11-24T22:12:33ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/48139794813979Adjoining a Constant Function to n-Dimensional Chebyshev SpaceMansour Alyazidi-Asiry0Department of Mathematics, College of Sciences, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaThis paper is concerned with extending a Chebyshev system of n continuous nonconstant functions into a set of n+1 functions including a constant function. Necessary and sufficient conditions for the new set to be a Chebyshev system are discussed and some results are obtained.http://dx.doi.org/10.1155/2016/4813979
collection DOAJ
language English
format Article
sources DOAJ
author Mansour Alyazidi-Asiry
spellingShingle Mansour Alyazidi-Asiry
Adjoining a Constant Function to n-Dimensional Chebyshev Space
Journal of Function Spaces
author_facet Mansour Alyazidi-Asiry
author_sort Mansour Alyazidi-Asiry
title Adjoining a Constant Function to n-Dimensional Chebyshev Space
title_short Adjoining a Constant Function to n-Dimensional Chebyshev Space
title_full Adjoining a Constant Function to n-Dimensional Chebyshev Space
title_fullStr Adjoining a Constant Function to n-Dimensional Chebyshev Space
title_full_unstemmed Adjoining a Constant Function to n-Dimensional Chebyshev Space
title_sort adjoining a constant function to n-dimensional chebyshev space
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2016-01-01
description This paper is concerned with extending a Chebyshev system of n continuous nonconstant functions into a set of n+1 functions including a constant function. Necessary and sufficient conditions for the new set to be a Chebyshev system are discussed and some results are obtained.
url http://dx.doi.org/10.1155/2016/4813979
work_keys_str_mv AT mansouralyazidiasiry adjoiningaconstantfunctiontondimensionalchebyshevspace
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