High order approximation of degree nine and order eighteen

Abedallah Rababah

doi:10.1186/s13660-019-2103-x

High order approximation of degree nine and order eighteen

Abedallah Rababah

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

2 Citations (Scopus)

Abstract

In this paper, a method to approximate curves by polynomials of degree nine is presented. The resulting approximation has order eighteen. The method is applied to approximate a circular arc, and the error function is studied and characterized, and its extrema and zeros are derived.

Original language	English
Article number	155
Journal	Journal of Inequalities and Applications
Volume	2019
DOIs	https://doi.org/10.1186/s13660-019-2103-x
Publication status	Published - 2019
Externally published	Yes

Keywords

Bézier curves
High order approximation
Nonic polynomials

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

Access to Document

10.1186/s13660-019-2103-x

Cite this

@article{578a6dd4a9154e6ba6f61e7a8b415515,

title = "High order approximation of degree nine and order eighteen",

abstract = "In this paper, a method to approximate curves by polynomials of degree nine is presented. The resulting approximation has order eighteen. The method is applied to approximate a circular arc, and the error function is studied and characterized, and its extrema and zeros are derived.",

keywords = "B{\'e}zier curves, High order approximation, Nonic polynomials",

author = "Abedallah Rababah",

note = "Publisher Copyright: {\textcopyright} 2019, The Author(s).",

year = "2019",

doi = "10.1186/s13660-019-2103-x",

language = "English",

volume = "2019",

journal = "Journal of Inequalities and Applications",

issn = "1025-5834",

publisher = "Springer Nature",

}

TY - JOUR

T1 - High order approximation of degree nine and order eighteen

AU - Rababah, Abedallah

PY - 2019

Y1 - 2019

N2 - In this paper, a method to approximate curves by polynomials of degree nine is presented. The resulting approximation has order eighteen. The method is applied to approximate a circular arc, and the error function is studied and characterized, and its extrema and zeros are derived.

AB - In this paper, a method to approximate curves by polynomials of degree nine is presented. The resulting approximation has order eighteen. The method is applied to approximate a circular arc, and the error function is studied and characterized, and its extrema and zeros are derived.

KW - Bézier curves

KW - High order approximation

KW - Nonic polynomials

UR - http://www.scopus.com/inward/record.url?scp=85066461658&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85066461658&partnerID=8YFLogxK

U2 - 10.1186/s13660-019-2103-x

DO - 10.1186/s13660-019-2103-x

M3 - Article

AN - SCOPUS:85066461658

SN - 1025-5834

VL - 2019

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

M1 - 155

ER -

High order approximation of degree nine and order eighteen

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this