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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Bibliographic Details
Published inComputational methods and function theory Vol. 21; no. 3; pp. 413 - 426
Main Authors Zhao, Tie-Hong, He, Zai-Yin, Chu, Yu-Ming
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2021
Springer Nature B.V
Subjects
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
Online AccessGet full text
ISSN1617-9447
2195-3724
DOI10.1007/s40315-020-00352-7

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Summary: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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content type line 14
ISSN:1617-9447
2195-3724
DOI:10.1007/s40315-020-00352-7