## Real Analysis Exchange

### Some types of convergence of sequences of real valued functions.

#### Abstract

Using the notions of uniform equal and uniform discrete convergence for sequences of real valued functions, the classes of functions which are uniform equal limits and uniform discrete limits of sequences of real valued functions belonging to certain class are studied. Also, new types of convergence of sequences of real valued functions, called $\alpha$-uniform equal, $\alpha$-strong uniform equal and $\alpha$-equal are defined and studied. Using $\alpha$-uniform equal convergence, a characterization of compact metric space is obtained.

#### Article information

Source
Real Anal. Exchange, Volume 29, Number 1 (2003), 43-59.

Dates
First available in Project Euclid: 9 June 2006