A totally positive basis for circle approximations

A totally positive basis for circle approximations

We construct a six-dimensional space of polynomials containing approximations of trigonometric functions. In this way, an approximation of a circle can be represented as a parametric curve in this space. We show that the space has shape preserving representations and we construct the basis with opti...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Físicas y Naturales. Serie A, Matemáticas, 2019-10, Vol.113 (4), p.3383-3397
Hauptverfasser: Carnicer, J. M., Mainar, E., Peña, J. M.
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Mathematical analysis
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Original Paper
Polynomials
Theoretical
Trigonometric functions
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We construct a six-dimensional space of polynomials containing approximations of trigonometric functions. In this way, an approximation of a circle can be represented as a parametric curve in this space. We show that the space has shape preserving representations and we construct the basis with optimal shape preserving properties.
ISSN:1578-7303
1579-1505
DOI:10.1007/s13398-019-00705-5