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: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/579819 |
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| author | Sumit Chandok T. D. Narang |
| author_facet | Sumit Chandok T. D. Narang |
| author_sort | Sumit Chandok |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-35f9f7e1486c44f9b30e2e350788bb93 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-35f9f7e1486c44f9b30e2e350788bb932025-08-20T02:08:13ZengWileyInternational 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 |
| spellingShingle | Sumit Chandok T. D. Narang Invariant Points and 𝜀-Simultaneous Approximation International Journal of Mathematics and Mathematical Sciences |
| title | 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_short | Invariant Points and 𝜀-Simultaneous Approximation |
| title_sort | invariant points and 𝜀 simultaneous approximation |
| url | http://dx.doi.org/10.1155/2011/579819 |
| work_keys_str_mv | AT sumitchandok invariantpointsandεsimultaneousapproximation AT tdnarang invariantpointsandεsimultaneousapproximation |