Invariant Points and 𝜀-Simultaneous Approximation
We generalize and extend Brosowski-Meinardus type results on invariant points from the set of best approximation to the set of 𝜀-simultaneous approximation. As a consequence some results on 𝜀-approximation and best approximation are also deduced. The results proved in this paper generalize and exten...
Main Authors: | , |
---|---|
Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2011-01-01
|
Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/2011/579819 |
id |
doaj-35f9f7e1486c44f9b30e2e350788bb93 |
---|---|
record_format |
Article |
spelling |
doaj-35f9f7e1486c44f9b30e2e350788bb932020-11-24T23:14:29ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/579819579819Invariant Points and 𝜀-Simultaneous ApproximationSumit Chandok0T. D. Narang1Department of Mathematics, Guru Nanak Dev University, Amritsar-143005, IndiaDepartment of Mathematics, Guru Nanak Dev University, Amritsar-143005, IndiaWe generalize and extend Brosowski-Meinardus type results on invariant points from the set of best approximation to the set of 𝜀-simultaneous approximation. As a consequence some results on 𝜀-approximation and best approximation are also deduced. The results proved in this paper generalize and extend some of the known results on the subject.http://dx.doi.org/10.1155/2011/579819 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Sumit Chandok T. D. Narang |
spellingShingle |
Sumit Chandok T. D. Narang Invariant Points and 𝜀-Simultaneous Approximation International Journal of Mathematics and Mathematical Sciences |
author_facet |
Sumit Chandok T. D. Narang |
author_sort |
Sumit Chandok |
title |
Invariant Points and 𝜀-Simultaneous Approximation |
title_short |
Invariant Points and 𝜀-Simultaneous Approximation |
title_full |
Invariant Points and 𝜀-Simultaneous Approximation |
title_fullStr |
Invariant Points and 𝜀-Simultaneous Approximation |
title_full_unstemmed |
Invariant Points and 𝜀-Simultaneous Approximation |
title_sort |
invariant points and 𝜀-simultaneous approximation |
publisher |
Hindawi Limited |
series |
International Journal of Mathematics and Mathematical Sciences |
issn |
0161-1712 1687-0425 |
publishDate |
2011-01-01 |
description |
We generalize and extend Brosowski-Meinardus type results on invariant points from the set of best approximation to the set of 𝜀-simultaneous approximation. As a consequence some results on 𝜀-approximation and best approximation are also deduced. The results proved in this paper generalize and extend some of the known results on the subject. |
url |
http://dx.doi.org/10.1155/2011/579819 |
work_keys_str_mv |
AT sumitchandok invariantpointsandεsimultaneousapproximation AT tdnarang invariantpointsandεsimultaneousapproximation |
_version_ |
1725594060261949440 |