Two Optimal Double Inequalities for Error Function

Author:

Xia Wei Feng1

Affiliation:

1. Huzhou Teachers College

Abstract

Let erf(x) be error function. Inspired by the inequality due to Alzer (2010), this paper obtain two optimal inequalities for the convex combination of error function.

Publisher

Trans Tech Publications, Ltd.

Subject

General Engineering

Reference32 articles.

1. K. Oldham, J. Myland and J. Spanier, in: An atlas of functions. With Equator, the atlas function calculator, Second edition, chapter 10, Springer, New York(2009).

2. N. M. Temme, in: NIST handbook of mathematical functions, pp.159-171, U.S. Dept. Commerce, Washington, DC(2010).

3. W. Gawronski, J. Muller and M. Reinhard: SIAM J. Numer. Anal., vol. 45(6)(2007), pp.2564-2576.

4. S. Morosawa: Complex analysis and potential theory, (2007), pp.174-177.

5. H. Alzer: Aequationes Math., vol. 66 (1-2)(2003), pp.119-127.

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