A convergence theorem for the improper Riemann integral of Banach space-valued functions

@article{Escamilla2014ACT,
  title={A convergence theorem for the improper Riemann integral of Banach space-valued functions},
  author={J. A. Escamilla and M. Raggi and Luis Angel Gutierrez and F. Hern{\'a}ndez},
  journal={International Journal of Mathematical Analysis},
  year={2014},
  volume={8},
  pages={2451-2460}
}
In this paper, we establish a characterization, by means of the uniform convergence, of a convergence which is based in the Moore’s ideas [4]; then, according to this characterization, we give a convergence theorem for the improper Riemann integral of functions taking values in a Banach space. Mathematics Subject Classification: 28B05, 46G12 

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