Jensen's inequality applies to convex and concave functions. The properties of these functions that are relevant for understanding the proof of the inequality are: the tangents of a convex function lie entirely below its graph; the tangents of a concave function lie entirely above its graph. Al...
A very short proof of an inequality due to Cutler and Olsen is presented.doi:10.2307/2686823Norman Schaumberger and Bert KabakCollege Mathematics Journal
翻译结果2复制译文编辑译文朗读译文返回顶部 证据依据 对于 的 Jensen 的不平等的直接使用 concave 功能 ~(C), C E LC:翻译结果3复制译文编辑译文朗读译文返回顶部 证明基于詹森的不平等的凹函数的直接使用 ~ (C) C E LC:翻译结果4复制译文编辑译文朗读译文返回顶部 正在翻译,请等待...翻译结果5复制译文编辑...
P. Niculescu, A simple proof of the Jensen type inequality of Fink and Jodeit. To appear in Mediterr. J. Math. 2016.Mihai, M., Niculescu, C.P.: A simple proof of the Jensen type inequality of Fink and Jodeit. Mediterr. J. Math. : 10.1007/s00009-014-0480-4...