Unconditional Integrability with Application to Ergodic Theorem
Journal Title: Asian Research Journal of Mathematics - Year 2017, Vol 5, Issue 4
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.
Authors and Affiliations
Mangatiana A. Robdera, Dintle N. Kagiso
Keywords
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- EP ID EP338458
- DOI 10.9734/ARJOM/2017/35466
- Views 70
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