Author(s)

Guy Degla^1,2

¹Institut de Mathematiques et de Sciences Physiques (IMSP), Porto-Novo, Benin.
²International Centre for Theoretical Physics (ICTP), Trieste, Italy.

We stress a basic criterion that shows in a simple way how a sequence of real-valued functions can converge uniformly when it is more or less evident that the sequence converges uniformly away from a finite number of points of the closure of its domain. For functions of a real variable, unlike in most classical textbooks our criterion avoids the search of extrema (by differential calculus) of their general term.

Sequence of Functions, Uniform Convergence, Metric, Boundedness

Degla, G. (2015) A Remark on the Uniform Convergence of Some Sequences of Functions. Advances in Pure Mathematics, 5, 527-533. doi: 10.4236/apm.2015.59048.