Equiconvergence of some sequences of rational functions
The phenomenon of equiconvergence was first observed by Walsh for two sequences of polynomial interpolants to a class of functions. Here we obtain analogues of Yuanren's results for Walsh equiconvergence using rational functions as in Saff and Sharma. We extend this to Hermite interpolation and...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1992-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171292000280 |
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| _version_ | 1832551831961600000 |
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| author | M. A. Bokhari A. Sharma |
| author_facet | M. A. Bokhari A. Sharma |
| author_sort | M. A. Bokhari |
| collection | DOAJ |
| description | The phenomenon of equiconvergence was first observed by Walsh for two sequences of polynomial interpolants to a class of functions. Here we obtain analogues of Yuanren's results for Walsh equiconvergence using rational functions as in Saff and Sharma. We extend this to Hermite interpolation and an earlier result of [1] is improved and corrected. |
| format | Article |
| id | doaj-art-c43eb55b458e4944a69a344ef2e8de78 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1992-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-c43eb55b458e4944a69a344ef2e8de782025-02-03T06:00:32ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251992-01-0115222122810.1155/S0161171292000280Equiconvergence of some sequences of rational functionsM. A. Bokhari0A. Sharma1Department of Mathematical Sciences, K.F.U.P.M., Dhahran, Saudi ArabiaDepartment of Mathematics, University of Alberta, Alberta, Edmonton T6G 2G1, CanadaThe phenomenon of equiconvergence was first observed by Walsh for two sequences of polynomial interpolants to a class of functions. Here we obtain analogues of Yuanren's results for Walsh equiconvergence using rational functions as in Saff and Sharma. We extend this to Hermite interpolation and an earlier result of [1] is improved and corrected.http://dx.doi.org/10.1155/S0161171292000280rational functionspolynomialssequencesinterpolationequiconvergence. |
| spellingShingle | M. A. Bokhari A. Sharma Equiconvergence of some sequences of rational functions International Journal of Mathematics and Mathematical Sciences rational functions polynomials sequences interpolation equiconvergence. |
| title | Equiconvergence of some sequences of rational functions |
| title_full | Equiconvergence of some sequences of rational functions |
| title_fullStr | Equiconvergence of some sequences of rational functions |
| title_full_unstemmed | Equiconvergence of some sequences of rational functions |
| title_short | Equiconvergence of some sequences of rational functions |
| title_sort | equiconvergence of some sequences of rational functions |
| topic | rational functions polynomials sequences interpolation equiconvergence. |
| url | http://dx.doi.org/10.1155/S0161171292000280 |
| work_keys_str_mv | AT mabokhari equiconvergenceofsomesequencesofrationalfunctions AT asharma equiconvergenceofsomesequencesofrationalfunctions |