函数的幂加权平均值

    Weighted Power Means of Functions and Their Applications

    • 摘要: 利用函数的同序和反序概念,研究了函数害虫加权平均值的性质及其关于其幂指数的函数特性(如对数凸性单调性).作为应用,引进了一个新的平均值,比较了Holder平均值和Stolarsky平均值.同时得到Ostle-Terwilliger不等式及自述-几何不等式的加细的结果。

       

      Abstract: By means of the concepts of the same order and the oppoite order between functions, studiedthe properties of weighted powr means of functions and their functional characteristics such as the loga-rithmic convexity and monotony when they are considered as functions of their power exponents. As appli-cations a new mean was introduced, comparisons between the so-called Holder's means and the Sto-larsky's means were made, and results of the refinements of the Ostle-Tewlliger inequality and of thearithmtic-geometric mean inequality were obtained.

       

    /

    返回文章
    返回