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.
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2016-01-01
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Series: | Journal of Function Spaces |
Online Access: | http://dx.doi.org/10.1155/2016/4813979 |
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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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1725803253949530112 |