广义正弦函数与广义双曲正弦函数的几何凸性
经典分析与常微分方程
2014-05-08 v1
摘要
本文中，作者证明了广义正弦函数和广义双曲正弦函数分别是几何凹函数和几何凸函数。因此，作者验证了论文“B. A. Bhayo and M. Vuorinen, On generalized trigonometric functions with two parameters, J. Approx. Theory 164 (2012), no.~10, 1415–1426; Available online at http://dx.doi.org/10.1016/j.jat.2012.06.003”中提出的一个猜想。
引用
@article{arxiv.1301.3264,
title = {Geometric convexity of the generalized sine and the generalized hyperbolic sine},
author = {Wei-Dong Jiang and Feng Qi},
journal= {arXiv preprint arXiv:1301.3264},
year = {2014}
}
备注
5 pages