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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Main Author:	Osman, Rohaizan
Format:	Thesis
Language:	English
Published:	1994
Subjects:	QA1 Mathematics (General)
Online Access:	http://eprints.usm.my/61314/1/Pages%20from%20Rohaizan%20Osman.pdf
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id	my-usm-ep.61314
record_format	uketd_dc
spelling	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

Convolution Operators With Spline Kernels

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