Generalized Vandermonde determinants and mean values
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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