On two-variable means with variable weights

被引：13
|
作者：
Daróczy Z. [1 ]
Maksa G. [1 ]
Páles Z. [1 ]
机构：
[1] Inst. of Mathematics and Informatics, University of Debrecen, H-4010 Debrecen
来源：
Aequationes mathematicae | 2004年 / 67卷 / 1-2期
关键词：
Functional equation; Quasi-arithmetic mean; Regularity theorem; Weighted arithmetic mean;
D O I：
10.1007/s00010-003-2693-7
中图分类号：
学科分类号：
摘要：
In this note we solve the equality problem of weighted quasi-arithmetic means of two variables in the particular case when one of the weight functions is constant. As an application, we determine all those weighted arithmetic means that are also quasi-arithmetic. No differentiability conditions on the unknown functions are assumed.
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页码：154 / 159
页数：5
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