FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1997, VOLUME 3, NUMBER 1, PAGES 47-67

J. L. Fernández Muñiz

Luz del Carmen Alvarez Marín

Abstract

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The concepts of
```$R_F$ -convergence in the space of real
(or complex) functions
over a Hausdorff topological space and of Riemann integrable
functions without using the Riemann integral are given. Some properties
of $R_F$ -convergence and theorems of Banach Steinhauss
type have been proved.

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