Document Type

Article

Publication Date

2009

Publication Title

Aequationes Mathematicae

Abstract

We classify, under reasonable assumptions, all differentiable functions f for which the ‘secant method’ [xf(y) − yf(x)]/[f(y) − f(x)] is continuous and associative. Further, we classify all differentiable functions for which the similar type of addition xf(y) + yf(x) is associative.

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