Generalized Vandermonde determinants and mean values

作者:

Highlights:

摘要

In this article, the generalized Vandermonde determinants of order n+1 are introduced and studied systematically, a type of mean values of several positive numbers are defined by using the same type of determinants, and some of their basic properties and applications are given.

论文关键词:Vandermonde determinants,Mean values,Integral identity,Elementary symmetric function,Monotonicity,Integral inequality

论文评审过程:Available online 23 February 2008.

论文官网地址:https://doi.org/10.1016/j.amc.2008.02.016