Sharp Bounds for the Weighted Hölder Mean of the Zero-Balanced Generalized Complete Elliptic Integrals

In the article, we present the best possible bounds for the weighted Hölder mean of the zero-balanced generalized complete elliptic integrals of the first and second kinds, which are the generalizations of previous results for complete p -elliptic integrals.

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Bibliographische Detailangaben
Veröffentlicht in:	Computational methods and function theory 2021-09, Vol.21 (3), p.413-426
Hauptverfasser:	Zhao, Tie-Hong, He, Zai-Yin, Chu, Yu-Ming
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Computational Mathematics and Numerical Analysis Elliptic functions Functions of a Complex Variable Integrals Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	In the article, we present the best possible bounds for the weighted Hölder mean of the zero-balanced generalized complete elliptic integrals of the first and second kinds, which are the generalizations of previous results for complete p -elliptic integrals.
ISSN:	1617-9447 2195-3724
DOI:	10.1007/s40315-020-00352-7