Godement, R. and Spain, P. (2005) Analysis II: Differential and Integral Calculus, Fourier Series, Holomorphic Fnctions. Springer, Berlin.

has been cited by the following article:

• TITLE: A Remark on the Uniform Convergence of Some Sequences of Functions

  AUTHORS: Guy Degla

  KEYWORDS: Sequence of Functions, Uniform Convergence, Metric, Boundedness

  JOURNAL NAME: Advances in Pure Mathematics, Vol.5 No.9, July 6, 2015

  ABSTRACT: 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.