<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

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

Foundations of Computing and Decision Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Morgan-Voyce Polynomial Approach for Quaternionic Space Curves of Constant Width"}

The curves of constant width are special curves used in engineering, architecture and technology. In the literature, these curves are considered according to...

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

Publié en ligne: 01 mars 2021

Pages: 71 - 83

Reçu: 25 mars 2020

Accepté: 24 nov. 2020

DOI: https://doi.org/10.2478/fcds-2021-0005

Mots clés
curve of constant width, quaternionic space curve, Morgan-Voyce polynomial approach

© 2021 Tuba Ağirman Aydin et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Publié en ligne: 01 mars 2021

Pages: 71 - 83

Reçu: 25 mars 2020

Accepté: 24 nov. 2020

DOI: https://doi.org/10.2478/fcds-2021-0005

Mots cléscurve of constant width, quaternionic space curve, Morgan-Voyce polynomial approach

© 2021 Tuba Ağirman Aydin et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
curve of constant width, quaternionic space curve, Morgan-Voyce polynomial approach