Morgan-Voyce Polynomial Approach for Quaternionic Space Curves of Constant Width-Reference-Cited by-同舟云学术

Morgan-Voyce Polynomial Approach for Quaternionic Space Curves of Constant Width

Published:2021-03-01 Issue:1 Volume:46 Page:71-83
ISSN:2300-3405
Container-title:Foundations of Computing and Decision Sciences
language:en
Short-container-title:

Author:

Aydin Tuba Ağirman¹^ORCID,Ayazoğlu Rabil¹,Kocayiğit Hüseyin²

Affiliation:

1. Faculty of Education , Bayburt University , Bayburt , Turkey

2. Department of Mathematics , Celal Bayar University , Manisa , Turkey

Abstract

Abstract The curves of constant width are special curves used in engineering, architecture and technology. In the literature, these curves are considered according to different roofs in different spaces and some integral characterizations of these curves are obtained. However, in order to examine the geometric properties of curves of constant width, more than characterization is required. In this study, firstly differential equations characterizing quaternionic space curves of constant width are obtained. Then, the approximate solutions of the differential equations obtained are calculated by the Morgan-Voyce polynomial approach.The geometric properties of this curve type are examined with the help of these solutions.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/fcds-2021-0005

Reference17 articles.

1. [1] Akdoğan Z., Mağden A., Some characterization of curves of constant-breadth in En space, Turkısh Journal of Mathematics, 25, 2001, 433-444.

2. [2] Demir S., Özdaş K., Serret–Frenet formulas by real quaternions, Süleyman Demirel University, Journal of Science Institute,9, 2005, 1-7.

3. [3] Hacısalihoğlu H.H., Motion geometry and quaternions theory, Gazi University, Faculty of Arts and Sciences Publications, Ankara, 1983.

4. [4] Hacısalihoğlu H.H., Differential geometry I, Ankara university Pres, Ankara, 1998.

5. [5] Hamilton W.R., Lectures on Quaternions, 1853.

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