|
|
|
|
Volume 5, Issue 3, Article 55 |
|
|
|
|
|
|
A Two-Sided Estimate Of $\mathrm{e}^x-( 1+\frac{x}{n})^n$
|
|
|
Authors: |
Constantin P. Niculescu, Andrei Vernescu, |
|
|
|
Keywords:
|
Inequalities, Two-sided estimates, Exponential function, Means. |
|
|
|
Date Received:
|
23/03/04 |
|
|
|
Date Accepted:
|
01/04/04 |
|
|
|
Subject Codes: |
Primary 26D15; Secondary 26A06, 26A48
|
|
|
|
Editors: |
Lars-Erik Persson, |
|
|
|
|
|
|
|
|
|
Abstract: |
In this paper we refine an old inequality of G. N. Watson related to the formula .
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|