Name
Abstract | ||
|---|---|---|
In classical measure theory there are a number of convergence theorems, such as the Egorov, the Riesz and the Lusin theorem, among others. We consider monotone measures (i.e., monotone set functions vanishing in the empty set and defined on a measurable space) and discuss, how and to which extent classical convergence theorems can be carried over to this more general case. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1016/j.fss.2015.05.017 | Fuzzy Sets and Systems |
Keywords | Field | DocType |
Monotone measure,Monotone set function,Convergence theorems,Egorov theorem,Riesz theorem,Lusin theorem | Discrete mathematics,Bernstein's theorem on monotone functions,Dominated convergence theorem,Monotone convergence theorem,Strongly monotone,Wald's equation,Pointwise convergence,Egorov's theorem,Mathematics,Monotone polygon | Journal |
Volume | Issue | ISSN |
281 | C | 0165-0114 |
Citations | PageRank | References |
9 | 0.73 | 43 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jun Li | 1 | 221 | 34.16 |
| Radko Mesiar | 2 | 3778 | 472.41 |
| Endre Pap | 3 | 921 | 91.69 |
| Erich Peter Klement | 4 | 989 | 128.89 |