论文标题
在詹森凸和詹森
On the Jensen convex and Jensen concave envelopes of means
论文作者
论文摘要
在最近的论文中，Quasiarithmetic手段的凸度是在两倍的可不同性假设下进行的。本文的主要目标之一是表明quasiarithmecetic平均值的凸度或凹度意味着其发电机的连续可不同性。由于这个结果，我们可以表征那些接受下部凸和上凹形的quasiarithmentemetic封底的Quasiarithmetic手段。
In recent papers the convexity of quasiarithmetic means was characterized under twice differentiability assumptions. One of the main goals of this paper is to show that the convexity or concavity of a quasiarithmetic mean implies the the twice continuous differentiability of its generator. As a consequence of this result, we can characterize those quasiarithmetic means which admit a lower convex and upper concave quasiarithmetic envelop.
