Mean-value theorems and some symmetric means

TL;DRAbstract

Abstract Some variants of the Lagrange and Cauchy mean-value theorems lead to the conclusion that means, in general, are not symmetric. They are symmetric iff they coincide (respectively) with the Lagrange and Cauchy means. Under some regularity assumptions, we determine the form of all the relevant symmetric means.

Chat with Paper

AI Agents for this Paper