Integral representations of bivariate complex geometric mean and their applications
type: Item
instance of: scholarly article
title: Integral representations of bivariate complex geometric mean and their applications
zbMATH Open document ID: 1375.26045
author: Feng Qi
author: Dongkyu Lim
published in: Journal of Computational and Applied Mathematics
publication date: 2017-11-03T00:00:00Z
Mathematics Subject Classification ID: 26E60
Mathematics Subject Classification ID: 30E20
Mathematics Subject Classification ID: 44A10
Mathematics Subject Classification ID: 44A15
zbMATH DE Number: 6802814
zbMATH Keywords: integral representation
zbMATH Keywords: Lévy-Khintchine representation
zbMATH Keywords: bivariate complex geometric mean
zbMATH Keywords: multivariate geometric mean
zbMATH Keywords: weighted geometric mean
zbMATH Keywords: Heronian mean
MaRDI profile type: Publication
full work available at URL: j.cam.2017.08.005
OpenAlex ID: W2612699106
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: On complete monotonicity of some functions related to means
cites work: A simple proof of logarithmic convexity of extended mean values
cites work: Extended Mean Values
cites work: Extended mean values. II
cites work: Generalizations of the Logarithmic Mean
cites work: Q4441514
cites work: A Pick function related to an inequality for the entropy function
cites work: A completely monotonic function used in an inequality of Alzer
cites work: A one-parameter family of Pick functions defined by the Gamma function and related to the volume of the unit ball in $n$-space
cites work: Pick functions related to the gamma function.
cites work: On the degree of the weighted geometric mean as a complete Bernstein function
cites work: An integral representation, complete monotonicity, and inequalities of Cauchy numbers of the second kind
cites work: Q4598067
cites work: Complete monotonicity of the logarithmic mean
cites work: The reciprocal of the geometric mean of many positive numbers is a Stieltjes transform
cites work: The reciprocal of the weighted geometric mean is a Stieltjes function
cites work: The reciprocal of the weighted geometric mean of many positive numbers is a Stieltjes function
cites work: Some properties of central Delannoy numbers
cites work: Integral representations and properties of some functions involving the logarithmic function
cites work: AN INTEGRAL REPRESENTATION, SOME INEQUALITIES, AND COMPLETE MONOTONICITY OF THE BERNOULLI NUMBERS OF THE SECOND 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 representation of the geometric mean of many positive numbers and applications
cites work: Lévy-Khintchine representations of the weighted geometric mean and the logarithmic mean
cites work: The harmonic and geometric means are Bernstein functions
cites work: A new lower bound in the second Kershaw's double inequality
cites work: A new upper bound in the second Kershaw's double inequality and its generalizations
cites work: The function (bx−ax)/x: Logarithmic convexity and applications to extended mean values
cites work: Several identities involving the falling and rising factorials and the Cauchy, Lah, and Stirling numbers
cites work: Q4769056
cites work: Six proofs for an identity of the Lah numbers
cites work: Diagonal recurrence relations for the Stirling numbers of the first kind
cites work: Explicit formulas for computing Bernoulli numbers of the second kind and Stirling numbers of the first kind
cites work: Integral representations and properties of Stirling numbers of the first kind
cites work: A double inequality for an integral mean in terms of the exponential and logarithmic means
cites work: A sharp lower bound for Toader-Qi mean with applications
cites work: On approximating the modified Bessel function of the first kind and Toader-Qi mean
cites work: Sharp bounds for Toader-Qi mean in terms of logarithmic and identric means
cites work: Q4598786
cites work: Integral representations of the large and little Schröder numbers
cites work: Some explicit and recursive formulas of the large and little Schröder numbers
cites work: Q4957137
cites work: Some properties of the Schröder numbers
cites work: Two explicit formulas of the Schröder numbers
cites work: Q3999482
cites work: Extensions of the geometric-arithmetic means inequality to a disc of the complex plane
cites work: THE ARITHMETIC MEAN - GEOMETRIC MEAN INEQUALITY FOR COMPLEX NUMBERS
DOI: 10.1016/J.CAM.2017.08.005
DOI: 10.20944/PREPRINTS201705.0039.V1
description: scientific article; zbMATH DE number 6802814