| dc.date.accessioned | 2017-08-10T10:32:40Z | |
| dc.date.available | 2017-08-10T10:32:40Z | |
| dc.date.issued | 2017-08-07 | |
| dc.identifier.citation | Robdera, M.A. (2017) Unconditional integrability with application to ergodic theorem. Asian Research Journal of Mathematics, Vol. 5, No. 4, pp. 1-12 | en_US |
| dc.identifier.issn | 2456-477X | |
| dc.identifier.uri | http://hdl.handle.net/10311/1711 | |
| dc.description | Original research paper | en_US |
| dc.description.abstract | We present a straightforward introduction to the unconditional integrability in the extended sense. We
state and proof useful necessary and sufficient conditions for unconditional integrability of complex or
real valued functions. As an application, we obtain a simpler direct proof of mildly extended version of
the Birkhoff’s pointwise ergodic theorem. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | ScienceDomain International, http://www.sciencedomain.org/ | en_US |
| dc.relation.ispartofseries | ARJOM;ARJOM.35466 | |
| dc.rights | it is available under Creative Commons License | en_US |
| dc.subject | Unconditional integrability | en_US |
| dc.subject | conditional expectation | en_US |
| dc.subject | ergodic theorem | en_US |
| dc.subject | pointwise convergence | en_US |
| dc.title | Unconditional integrability with application to ergodic theorem | en_US |
| dc.type | Published Article | en_US |
| dc.rights.holder | Robdera | en_US |
| dc.link | https://doi.org/10.9734/ARJOM/2017/35466 | en_US |
