• Title of article

    Fatou’s lemma and lower epi-limits of integral functionals

  • Author/Authors

    Giner، نويسنده , , Emmanuel، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2012
  • Pages
    17
  • From page
    13
  • To page
    29
  • 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.
  • Keywords
    Fatou’s lemma , ? -limits of integral functionals , Modulus of equi-integrability
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2012
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    1562894