论文标题
两变量的广义quasiarithmetementementmentement的表征
Characterizations of the equality of two-variable generalized quasiarithmetic means
论文作者
论文摘要
本文的激励是由2001年在Proc中发表的H. Alzer和S. Ruscheweyh的惊人结果。阿米尔。数学。 Soc。，指出，两种可变的Gini的交集和Stolarsky的手段等于两变量的权力手段。两变量的Gini和Stolarsky表示在功能功能方面表达的两参数类别。自然可以根据所谓的Bajraktarević和Cauchy的手段来概括它们。我们的目的是表明，在高阶可不同假设下，这两类函数手段的相交等于两种可变的quasiarithmetic均值。
This paper is motivated by an astonishing result of H. Alzer and S. Ruscheweyh published in 2001 in the Proc. Amer. Math. Soc., which states that the intersection of the classes two-variable Gini means and Stolarsky means is equal to the class of two-variable power means. The two-variable Gini and Stolarsky means form two-parameter classes of means expressed in terms of power functions. They can naturally be generalized in terms of the so-called Bajraktarević and Cauchy means. Our aim is to show that the intersection of these two classes of functional means, under high-order differentiability assumptions, is equal to the class of two-variable quasiarithmetic means.
