Article ID Journal Published Year Pages File Type
6419068 Journal of Mathematical Analysis and Applications 2012 17 Pages PDF
Abstract

In this work, with the introduction in the σ-finite case of a modulus of equi-integrability, we prove some new extensions of Fatou's lemma and some of its consequences in the convergence theory of integral functionals. We present the case of a sequence of integral functionals using an analog of Ioffe's criterion for a sequence of integrands.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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