On the degree of approximation of the Hermite and Hermite-Fejer interpolation
Here we find the order of convergence of the Hermite and Hermite-Fejér interpolation polynomials constructed on the zeros of (1−x2)Pn(x) where Pn(x) is the Legendre polynomial of degree n with normalization Pn(1)=1.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1992-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171292000061 |
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| _version_ | 1832550015570018304 |
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| author | J. Prasad |
| author_facet | J. Prasad |
| author_sort | J. Prasad |
| collection | DOAJ |
| description | Here we find the order of convergence of the Hermite and Hermite-Fejér interpolation polynomials constructed on the zeros of (1−x2)Pn(x) where Pn(x) is the Legendre polynomial of degree n with normalization Pn(1)=1. |
| format | Article |
| id | doaj-art-8ac37afd5bb847e790fdc4364b179006 |
| 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-8ac37afd5bb847e790fdc4364b1790062025-02-03T06:08:00ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251992-01-01151475610.1155/S0161171292000061On the degree of approximation of the Hermite and Hermite-Fejer interpolationJ. Prasad0Department of Mathematics, California State University, Los Angeles 90032, California, USAHere we find the order of convergence of the Hermite and Hermite-Fejér interpolation polynomials constructed on the zeros of (1−x2)Pn(x) where Pn(x) is the Legendre polynomial of degree n with normalization Pn(1)=1.http://dx.doi.org/10.1155/S0161171292000061zerosmodulus of continuityinterior pointsinterpolation processbest approximation. |
| spellingShingle | J. Prasad On the degree of approximation of the Hermite and Hermite-Fejer interpolation International Journal of Mathematics and Mathematical Sciences zeros modulus of continuity interior points interpolation process best approximation. |
| title | On the degree of approximation of the Hermite and Hermite-Fejer interpolation |
| title_full | On the degree of approximation of the Hermite and Hermite-Fejer interpolation |
| title_fullStr | On the degree of approximation of the Hermite and Hermite-Fejer interpolation |
| title_full_unstemmed | On the degree of approximation of the Hermite and Hermite-Fejer interpolation |
| title_short | On the degree of approximation of the Hermite and Hermite-Fejer interpolation |
| title_sort | on the degree of approximation of the hermite and hermite fejer interpolation |
| topic | zeros modulus of continuity interior points interpolation process best approximation. |
| url | http://dx.doi.org/10.1155/S0161171292000061 |
| work_keys_str_mv | AT jprasad onthedegreeofapproximationofthehermiteandhermitefejerinterpolation |