On the Bounds of the Perimeter of an Ellipse

On the Bounds of the Perimeter of an Ellipse

In this paper, we present new bounds for the perimeter of an ellipse in terms of harmonic, geometric, arithmetic and quadratic means; these new bounds represent improvements upon some previously known results.

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Veröffentlicht in:Acta mathematica scientia 2022-03, Vol.42 (2), p.491-501
Hauptverfasser: Zhao, Tiehong, Wang, Miaokun, Chu, Yuming
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung:In this paper, we present new bounds for the perimeter of an ellipse in terms of harmonic, geometric, arithmetic and quadratic means; these new bounds represent improvements upon some previously known results.
ISSN:0252-9602
1572-9087
DOI:10.1007/s10473-022-0204-y