A Remark on the Uniform Convergence of Some Sequences of Functions

DOI: 10.4236/apm.2015.59048   PDF   HTML   XML   3,097 Downloads   3,575 Views  

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.

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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.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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