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...

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Main Authors: Sumit Chandok, T. D. Narang
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
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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
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