@article{Wang2025, 
author = {Zixuan Wang and Chuanlong Sun and Tiren Huang},
title = {Sharp weighted Hölder mean bounds for the second kind generalized elliptic integral},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {5},
pages = {11271-11289},
keywords = {generalized elliptic integral, weighted Hölder mean, hypergeometric function, inequality},
url = {https://www.sciopen.com/article/10.3934/math.2025511},
doi = {10.3934/math.2025511},
abstract = {This paper deals with the second kind of generalized elliptic integral              E        a  , for    a in the interval        [                  1        2            ,      1        )  , approximated by the weighted Hölder mean. It establishes sharp bounds of the weighted Hölder mean of              E        a   in terms of weight, accordingly extending the existing results for the complete case when    a  =      1    2   and establishing new inequality relationships.}
}