Shafer-Fink type inequalities for arc lemniscate functions
Classical Analysis and ODEs
2019-05-29 v1
Abstract
In this paper, we investigate the monotonicity and inequalities for some functions involving the arc lemniscate and the hyperbolic arc lemniscate functions. In particular, sharp Shafer-Fink type inequalities for the arc lemniscate and the hyperbolic arc lemniscate functions are proved.
Keywords
Cite
@article{arxiv.1905.11802,
title = {Shafer-Fink type inequalities for arc lemniscate functions},
author = {Minjie Wei and Yue He and Gendi Wang},
journal= {arXiv preprint arXiv:1905.11802},
year = {2019}
}