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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| 語言: | English |
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1994
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my-usm-ep.613142024-10-16T02:19:50Z Convolution Operators With Spline Kernels 1994-04 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 http://eprints.usm.my/61314/ http://eprints.usm.my/61314/1/Pages%20from%20Rohaizan%20Osman.pdf application/pdf en public phd doctoral Universiti Sains Malaysia Pusat Pengajian Sains Matematik ( School of Mathematical Sciences) |
| institution |
Universiti Sains Malaysia |
| collection |
USM Institutional Repository |
| language |
English |
| topic |
QA1 Mathematics (General) |
| spellingShingle |
QA1 Mathematics (General) Osman, Rohaizan Convolution Operators With Spline Kernels |
| 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. |
| format |
Thesis |
| qualification_name |
Doctor of Philosophy (PhD.) |
| qualification_level |
Doctorate |
| author |
Osman, Rohaizan |
| author_facet |
Osman, Rohaizan |
| author_sort |
Osman, Rohaizan |
| title |
Convolution Operators With Spline Kernels |
| title_short |
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_sort |
convolution operators with spline kernels |
| granting_institution |
Universiti Sains Malaysia |
| granting_department |
Pusat Pengajian Sains Matematik ( School of Mathematical Sciences) |
| publishDate |
1994 |
| url |
http://eprints.usm.my/61314/1/Pages%20from%20Rohaizan%20Osman.pdf |
| _version_ |
1818647393045839872 |