Convolution Operators With Spline Kernels
In this project, we shall derive the asymptotic formulas for convolution operators with spline kernels for higher order differentiable functions. The two classes of operators which will be considered are the de la Vallee Poussin-Schoenberg operators Tm,k with trigonometric B-spline kernel of degree...
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| Format: | Thesis |
| Language: | English |
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1994
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| Online Access: | http://eprints.usm.my/61314/ http://eprints.usm.my/61314/1/Pages%20from%20Rohaizan%20Osman.pdf |
| _version_ | 1848884676678123520 |
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| author | Osman, Rohaizan |
| author_facet | Osman, Rohaizan |
| author_sort | Osman, Rohaizan |
| building | USM Institutional Repository |
| collection | Online Access |
| description | In this project, we shall derive the asymptotic formulas for convolution operators with spline kernels for higher order differentiable functions. The two classes of operators which will be considered are the de la Vallee Poussin-Schoenberg
operators Tm,k with trigonometric B-spline kernel of degree m and the singular integrals of Riemann-Lebesgue Rn,k with the periodic B-spline kernel of degree n -1. These formulas are analogous to the Bernstein's extension of Voronovskaya's
estimate for Bernsteins polynomials and Marsden and Riemenschneider's extension of Bernstein-Schoenberg operators for higher order derivatives. |
| first_indexed | 2025-11-15T19:10:30Z |
| format | Thesis |
| id | usm-61314 |
| institution | Universiti Sains Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T19:10:30Z |
| publishDate | 1994 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | usm-613142024-10-16T02:19:50Z http://eprints.usm.my/61314/ Convolution Operators With Spline Kernels Osman, Rohaizan QA1 Mathematics (General) In this project, we shall derive the asymptotic formulas for convolution operators with spline kernels for higher order differentiable functions. The two classes of operators which will be considered are the de la Vallee Poussin-Schoenberg operators Tm,k with trigonometric B-spline kernel of degree m and the singular integrals of Riemann-Lebesgue Rn,k with the periodic B-spline kernel of degree n -1. These formulas are analogous to the Bernstein's extension of Voronovskaya's estimate for Bernsteins polynomials and Marsden and Riemenschneider's extension of Bernstein-Schoenberg operators for higher order derivatives. 1994-04 Thesis NonPeerReviewed application/pdf en http://eprints.usm.my/61314/1/Pages%20from%20Rohaizan%20Osman.pdf Osman, Rohaizan (1994) Convolution Operators With Spline Kernels. PhD thesis, Universiti Sains Malaysia. |
| spellingShingle | QA1 Mathematics (General) Osman, Rohaizan Convolution Operators With Spline Kernels |
| title | Convolution Operators With Spline Kernels |
| title_full | Convolution Operators With Spline Kernels |
| title_fullStr | Convolution Operators With Spline Kernels |
| title_full_unstemmed | Convolution Operators With Spline Kernels |
| title_short | Convolution Operators With Spline Kernels |
| title_sort | convolution operators with spline kernels |
| topic | QA1 Mathematics (General) |
| url | http://eprints.usm.my/61314/ http://eprints.usm.my/61314/1/Pages%20from%20Rohaizan%20Osman.pdf |