Inequalities connected with averaging operators. Part II

被引：1
|
作者：
Fechner, Wiodzimierz [1 ]
机构：
[1] Univ Silesia, Inst Math, PL-40007 Katowice, Poland
来源：
INDAGATIONES MATHEMATICAE-NEW SERIES | 2015年 / 26卷 / 01期
关键词：
Averaging operators; Function algebras; Functional inequality;
D O I：
10.1016/j.indag.2014.03.004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We continue our previous studies of inequalities stemming from the notions of averaging operators. We focus our attention on the following system of functional inequalities: {T(f + T(g)) >= T(f) + T(g), {T (f . T (g)) >= T (f) . T (g), postulated for all f, g from some algebra of real functions. (C) 2014 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
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页码：40 / 49
页数：10
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