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

  • 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
Published
2007-12-05
Section
Articoli