A double inequality for an integral mean in terms of the exponential and logarithmic means
type: Item
instance of: scholarly article
title: A double inequality for an integral mean in terms of the exponential and logarithmic means
zbMATH Open document ID: 1413.26061
author: Feng Qi
author: Xiao-Ting Shi
author: Zhen-Hang Yang
author: Fang-Fang Liu
published in: Periodica Mathematica Hungarica
publication date: 2018-03-14T00:00:00Z
Mathematics Subject Classification ID: 26E60
Mathematics Subject Classification ID: 26D07
Mathematics Subject Classification ID: 30E20
Mathematics Subject Classification ID: 33C10
Mathematics Subject Classification ID: 33C75
zbMATH DE Number: 6850220
zbMATH Keywords: exponential mean
zbMATH Keywords: logarithmic mean
zbMATH Keywords: modified Bessel function of the first kind
MaRDI profile type: Publication
Wikidata QID: Q115603590
full work available at URL: s10998-016-0181-9
OpenAlex ID: W2551448546
cites work: Q3331506
cites work: Q4265267
cites work: Inequalities between arithmetic-geometric, Gini, and Toader means
cites work: Optimal Lehmer mean bounds for the Toader mean
cites work: Sharp bounds for Toader mean in terms of contraharmonic mean with applications
cites work: Optimal combinations bounds of root-square and arithmetic means for Toader mean
cites work: A property of logarithmically absolutely monotonic functions and the logarithmically complete monotonicity of a power-exponential function
cites work: Q4598673
cites work: Some bounds for the complete elliptic integrals of the first and second kinds
cites work: Some inequalities and absolute monotonicity for modified Bessel functions of the first kind
cites work: A double inequality for bounding Toader mean by the centroidal mean
cites work: The best bounds for Toader mean in terms of the centroidal and arithmetic means
cites work: A double inequality for the combination of Toader mean and the arithmetic mean in terms of the contraharmonic mean
cites work: Some inequalities for bounding Toader mean
cites work: Q5287501
cites work: Q3579593
cites work: Q4953815
cites work: Some inequalities constructed by Tchebysheff's integral inequality
cites work: Q4221454
cites work: Q3603364
cites work: Refinements, generalizations, and applications of Jordan's inequality and related problems
cites work: An alternative and united proof of a double inequality for bounding the arithmetic-geometric mean
cites work: An elementary proof of the weighted geometric mean being a Bernstein function
cites work: Optimal bounds for Toader mean in terms of arithmetic and contraharmonic means
cites work: Some mean values related to the arithmetic-geometric mean
cites work: What is the Laplace Transform?
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: Some inequalities for complete elliptic integrals
cites work: New inequalities for hyperbolic functions and their applications
cites work: Some new inequalities for means in two variables
DOI: 10.1007/S10998-016-0181-9
describes a project that uses: Digital Library of Mathematical Functions
Recommended article: An optimal double inequality between logarithmic and generalized logarithmic means
Recommended article: Q5228718
Recommended article: Two optimal double inequalities between power mean and logarithmic mean
Recommended article: A sharp double inequality between the one-parameter, logarithmic and identric means
Recommended article: Inequalities for generalized logarithmic means
Recommended article: Inequalities involving Mellin transform, integral mean, exponential and logarithmic mean
Recommended article: On some functional inequalities related to the logarithmic mean
Recommended article: Inequalities involving logarithmic mean of arbitrary order
Recommended article: Q3642305
Recommended article: A basic logarithmic inequality and the logarithmic mean
description: scientific article; zbMATH DE number 6850220