Symmetrically continuous function

Symmetrically continuous function

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

:lim_{h o 0} f(x+h)-f(x-h) = 0.

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

See also

* Symmetric derivative

References

* cite book
first= Brian S.
last= Thomson
year= 1994
title= Symmetric Properties of Real Functions
publisher= Marcel Dekker
id= ISBN 0-8247-9230-0


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