The reciprocal of the geometric mean of many positive numbers is a Stieltjes transform
type: Item
instance of: scholarly article
title: The reciprocal of the geometric mean of many positive numbers is a Stieltjes transform
zbMATH Open document ID: 1360.30029
author: Feng Qi
author: Bai-Ni Guo
published in: Journal of Computational and Applied Mathematics
publication date: 2016-12-28T00:00:00Z
Mathematics Subject Classification ID: 30E20
zbMATH DE Number: 6668793
zbMATH Keywords: reciprocal of the geometric mean
zbMATH Keywords: Cauchy integral formula
MaRDI profile type: Publication
full work available at URL: j.cam.2016.07.006
OpenAlex ID: W2494520707
cites work: Q3807464
cites work: A complete monotonicity property of the gamma function
cites work: Integral representation of some functions related to the gamma function
cites work: A property of logarithmically absolutely monotonic functions and the logarithmically complete monotonicity of a power-exponential function
cites work: Bernstein functions. Theory and applications
cites work: Some properties of functions related to the gamma and psi functions
cites work: Lévy-Khintchine representation of the geometric mean of many positive numbers and applications
cites work: On complete monotonicity of some functions related to means
cites work: On the degree of the weighted geometric mean as a complete Bernstein function
cites work: Integral representations and properties of Stirling numbers of the first kind
cites work: An elementary proof of the weighted geometric mean being a Bernstein function
cites work: An integral representation for the weighted geometric mean and its applications
cites work: Lévy-Khintchine representations of the weighted geometric mean and the logarithmic mean
DOI: 10.1016/J.CAM.2016.07.006
description: scientific article; zbMATH DE number 6668793