Abstract
The RAFU functions have been studied in [1, 2, 3, 4, 5 and 6]. They are useful in Approximation Theory to approach continuous functions and to reconstruct continuous functions. In this work we will use the RAFU functions to turn a discontinuous function into a continuous function. We will show the explicit expression of a sequence of continuous functions that converges to a discontinuous function given except at its discontinuity points. The paper shows examples for different types of discontinuities.

Keywords
RAFU functions; continuous functions; discontinuous functions.

Cite this paper
Alicia C. Sánchez, The narrow border between a continuous function and a discontinuous function , SCIREA Journal of Mathematics. Volume 5, Issue 3, June 2020 | PP. 32-43.

References

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