%0 Journal Article
%T A Remark on the Uniform Convergence of Some Sequences of Functions
%A Guy Degla
%J Advances in Pure Mathematics
%P 527-533
%@ 2160-0384
%D 2015
%I Scientific Research Publishing
%R 10.4236/apm.2015.59048
%X 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.
%K Sequence of Functions
%K Uniform Convergence
%K Metric
%K Boundedness
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=57755