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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Veröffentlicht in:Computational methods and function theory Jg. 21; H. 3; S. 413 - 426
Hauptverfasser: Zhao, Tie-Hong, He, Zai-Yin, Chu, Yu-Ming
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2021
Springer Nature B.V
Schlagworte:
Analysis
Computational Mathematics and Numerical Analysis
Elliptic functions
Functions of a Complex Variable
Integrals
Mathematics
Mathematics and Statistics
Complete elliptic integrals
Weighted Hölder mean
33E05
Gaussian hypergeometric function
Zero-balanced
33C05
ISSN:1617-9447, 2195-3724
Online-Zugang:Volltext
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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.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1617-9447
2195-3724
DOI:10.1007/s40315-020-00352-7