Borwein, Jonathan M. and Girgensohn, Roland (2003) *A Class of Exponential Inequalities.* Mathematical Inequalities and Applications, 6 . pp. 397-411.

| Postscript Download (217Kb) | Preview | |

| PDF Download (195Kb) | Preview |

## Abstract

We prove that for reals $x_i$ with $\sum x_i \ge 0$, the estimate $\sum x_i\,e^{x_i} \ge \frac{C_N}N \sum x_i^2$ holds, where $C_N = \max\{2,e\left(1-1/N\right)\}$. We also prove analogues for the $1$-norm and for Lebesgue-integrable functions.

Item Type: | Article |
---|---|

Additional Information: | pubdom FALSE |

Subjects: | 26-xx Real functions > 26Dxx Inequalities |

Faculty: | UNSPECIFIED |

Depositing User: | Users 1 not found. |

Date Deposited: | 24 Nov 2003 |

Last Modified: | 12 Jan 2015 15:42 |

URI: | https://docserver.carma.newcastle.edu.au/id/eprint/148 |

### Actions (login required)

View Item |