A generalization of Fatou’s lemma for extended real-valued functions on σ-finite measure spaces: with an application to infinite-horizon optimization in discrete time
Abstract Given a sequence { f n } n ∈ N $\{f_{n}\}_{n \in \mathbb {N}}$ of measurable functions on a σ-finite measure space such that the integral of each f n $f_{n}$ as well as that of lim sup n ↑ ∞ f n $\limsup_{n \uparrow\infty} f_{n}$ exists in R ‾ $\overline{\mathbb {R}}$ , we provide a suffici...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-01-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | http://link.springer.com/article/10.1186/s13660-016-1288-5 |