PreprintCC BY 4.0arXiv
The second type of power mean bounds for the hypergeometric mean
Abstract
In this paper, by using signs rule for a class of special power series and for the Laplace integrals, we find the best power mean bounds for the hypergeometric function (sharp at the right endpoint). Our results contain many known conclusions.
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BibTeX
@misc{yang2026second,
title = {{The second type of power mean bounds for the hypergeometric mean}},
author = {Zhen-Hang Yang and Jing-Feng Tian},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.13699},
eprint = {2610.13699},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.13699},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The second type of power mean bounds for the hypergeometric mean
AU - Zhen-Hang Yang
AU - Jing-Feng Tian
PY - 2026
DA - 2026/10/09
PB - arXiv
DO - 10.48550/arxiv.2610.13699
UR - https://arxiv.org/abs/2610.13699
AB - In this paper, by using signs rule for a class of special power series and for the Laplace integrals, we find the best power mean bounds for the hypergeometric function (sharp at the right endpoint). Our results contain many known conclusions.
ER -