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

Autor: Aydin Tuba Ağirman, Ayazoğlu Rabil, Kocayiğit Hüseyin
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Foundations of Computing and Decision Sciences, Vol 46, Iss 1, Pp 71-83 (2021)
Druh dokumentu: article
ISSN: 2300-3405
DOI: 10.2478/fcds-2021-0005
Popis: 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.
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