Continuous and discrete best polynomial degree reduction with Jacobi and Hahn weights

Rachid Ait-Haddou

doi:10.1016/j.jat.2016.02.018

Continuous and discrete best polynomial degree reduction with Jacobi and Hahn weights

Rachid Ait-Haddou

Computer, Electrical and Mathematical Sciences and Engineering

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We show that the weighted least squares approximation of Bézier coefficients with Hahn weights provides the best polynomial degree reduction in the Jacobi L2L2-norm. A discrete analogue of this result is also provided. Applications to Jacobi and Hahn orthogonal polynomials are presented.

Original language	English (US)
Pages (from-to)	165-176
Number of pages	12
Journal	Journal of Approximation Theory
Volume	207
DOIs	https://doi.org/10.1016/j.jat.2016.02.018
State	Published - Mar 2 2016

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01

ASJC Scopus subject areas

Analysis
Applied Mathematics
General Mathematics
Numerical Analysis

Access to Document

10.1016/j.jat.2016.02.018

https://repository.kaust.edu.sa/bitstream/10754/600525/1/1-s2.0-S0021904516000411-main.pdf

Cite this

@article{3a00d9784fa644789e591d0ca74953ee,

title = "Continuous and discrete best polynomial degree reduction with Jacobi and Hahn weights",

abstract = "We show that the weighted least squares approximation of B{\'e}zier coefficients with Hahn weights provides the best polynomial degree reduction in the Jacobi L2L2-norm. A discrete analogue of this result is also provided. Applications to Jacobi and Hahn orthogonal polynomials are presented.",

author = "Rachid Ait-Haddou",

note = "KAUST Repository Item: Exported on 2020-10-01",

year = "2016",

month = mar,

day = "2",

doi = "10.1016/j.jat.2016.02.018",

language = "English (US)",

volume = "207",

pages = "165--176",

journal = "Journal of Approximation Theory",

issn = "0021-9045",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Continuous and discrete best polynomial degree reduction with Jacobi and Hahn weights

AU - Ait-Haddou, Rachid

N1 - KAUST Repository Item: Exported on 2020-10-01

PY - 2016/3/2

Y1 - 2016/3/2

N2 - We show that the weighted least squares approximation of Bézier coefficients with Hahn weights provides the best polynomial degree reduction in the Jacobi L2L2-norm. A discrete analogue of this result is also provided. Applications to Jacobi and Hahn orthogonal polynomials are presented.

AB - We show that the weighted least squares approximation of Bézier coefficients with Hahn weights provides the best polynomial degree reduction in the Jacobi L2L2-norm. A discrete analogue of this result is also provided. Applications to Jacobi and Hahn orthogonal polynomials are presented.

UR - http://hdl.handle.net/10754/600525

UR - http://linkinghub.elsevier.com/retrieve/pii/S0021904516000411

UR - http://www.scopus.com/inward/record.url?scp=84954258422&partnerID=8YFLogxK

U2 - 10.1016/j.jat.2016.02.018

DO - 10.1016/j.jat.2016.02.018

M3 - Article

SN - 0021-9045

VL - 207

SP - 165

EP - 176

JO - Journal of Approximation Theory

JF - Journal of Approximation Theory

ER -

Continuous and discrete best polynomial degree reduction with Jacobi and Hahn weights

Abstract

Bibliographical note

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this