A subadditive property of the error function

Abstract

We prove the following subadditive property of the error function:Let a and b be real numbers. The inequalityholds for all positive real numbers x and y if and only if ab ≤ 1.

Commutative Neutrix Convolution Product Involving Gaussian Error Function

“…The error function is odd, convex on (−∞, 0], concave on [0, ∞), and strictly increasing on R. Some other properties of this function the reader can see in [1,2].…”