Inequalities related to the error function

Details Inequalities related to the error function Inequalities related to the error function

2006-07-27

arxiv.org/abs/math/0607694v1

Mathematics

Classical Analysis and ODEs

12 pages

Scientific paper

In this note we consider inequalities involving the error function $\phi$.
Our methodes give new proofs of some known inequalities of Komatsu, and of
Szarek and Werner, and also produce two families of inequalities that give
upper and lower bounds for $\phi$. Moreover the continued fractions expansion
of $\phi$ is obtained.

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