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.

Bibliographic Details

Published in:	Computational 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
Language:	English
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
ISSN:	1617-9447, 2195-3724
Online Access:	Get full text
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