Symmetrically continuous function

From Wikipedia, the free encyclopedia

In mathematics, a function f: \mathbb{R} \to \mathbb{R} is symmetrically continuous at a point x if

\lim_{h\to 0} f(x+h)-f(x-h) = 0.

The usual definition of continuity implies symmetric continuity, but the converse is not true.

[edit] See also

[edit] References

  • Thomson, Brian S. (1994). Symmetric Properties of Real Functions. Marcel Dekker. ISBN 0-8247-9230-0. 


 This mathematics-related article is a stub. You can help Wikipedia by expanding it.
Languages