JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 卷:307 |
Sub- and superadditive integral means | |
Article | |
Losonczi, L | |
关键词: integral mean; Cauchy mean value; subadditivity; superadditivity; | |
DOI : 10.1016/j.jmaa.2005.03.092 | |
来源: Elsevier | |
【 摘 要 】
The integral means are special Cauchy means (see, e.g., [L. Losonczi, On the comparison of Cauchy mean values, J. Inequal. Appl. 7 (2002) 11-24]) depending on one function. The two variable integral means were (independently) defined and studied by Elezovic and Pecaric [Differential and integral f-means and applications to digamma function, Math. Inequal. Appl. 3 (2000) 189-196]. The comparison problem of two integral means (under differentiability conditions) was solved by Losonczi [Comparison and subhomogeneity of integral means, Math. Inequal. Appl. 5 (2000) 609618]. Here we completely characterize the additive, sub- and superadditive integral means of n >= 2 variables. (c) 2005 Elsevier Inc. All rights reserved.
【 授权许可】
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