## A property of logarithmically absolutely monotonic functions and the logarithmically complete monotonicity of a power-exponential function, submitted

Venue: | CLASS OF COMPLETELY MONOTONIC FUNCTIONS AND APPLICATIONS 11 |

Citations: | 4 - 4 self |

### BibTeX

@INPROCEEDINGS{Qi_aproperty,

author = {Feng Qi and Bai-ni Guo},

title = {A property of logarithmically absolutely monotonic functions and the logarithmically complete monotonicity of a power-exponential function, submitted},

booktitle = {CLASS OF COMPLETELY MONOTONIC FUNCTIONS AND APPLICATIONS 11},

year = {}

}

### OpenURL

### Abstract

Abstract. In the article, a notion “logarithmically absolutely monotonic function” is introduced, an inclusion that a logarithmically absolutely monotonic function is also absolutely monotonic is revealed, the logarithmically complete monotonicity and the logarithmically absolute monotonicity of the function α x+β 1+ are proved, where α and β are given real parameters, a new proof x for the inclusion that a logarithmically completely monotonic function is also completely monotonic is given, and an open problem is posed.