Analog of Dini-Riemann theorem for non-absolutely convergent integrals

Authors

  • Giuseppe Rao University of Palermo
  • Francesco Tulone University of Palermo

Keywords:

Dini-Riemann theorem, Lebesgue improper integral, non-absolute integral, measure preserving mapping

Abstract

An analogue of classical Dini-Riemann theorem related to non-absolutely
convergent series of real number is proved for the Lebesgue improper integral.

Author Biographies

  • Giuseppe Rao, University of Palermo
    Department of Mathematics
    via Archiraļ¬ 34
    90123 Palermo, Italy
  • Francesco Tulone, University of Palermo
    Department of Mathematics
    via Archiraļ¬ 34
    90123 Palermo, Italy

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Published

2007-12-05

Issue

Vol. 62 No. 1 (2007)

Section

Articoli

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