Bibliographic Details
| Title: |
Subhomogeneity and subadditivity of the -norm like functionals. |
| Authors: |
Matkowski, Janusz1 J.Matkowski@wmie.uz.zgora.pl |
| Source: |
Journal of Mathematical Analysis & Applications. Aug2013, Vol. 404 Issue 1, p172-184. 13p. |
| Subjects: |
Functionals, Algebraic spaces, Simple functions (Mathematics), Mathematical inequalities, Generalization, Bijections, Mathematical analysis |
| Abstract: |
Abstract: For a measure space denote by the set of all -integrable simple functions . For a bijection we consider the functional , where is the support of . One of the results says that if the measure has values in and in , the function is monotonic and satisfies the inequality then is a power function. Some characterizations of the functions in two remaining cases when either or are given. The subadditivity of , i.e. a generalization of the Minkowski inequality, is also considered. [Copyright &y& Elsevier] |
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| Database: |
Engineering Source |
