A new upper bound in the second Kershaw's double inequality and its generalizations
type: Item
instance of: scholarly article
title: A new upper bound in the second Kershaw's double inequality and its generalizations
zbMATH Open document ID: 1149.26026
author: Feng Qi
author: Shouxin Chen
author: Senlin Guo
published in: Journal of Computational and Applied Mathematics
publication date: 2008-08-22T00:00:00Z
Mathematics Subject Classification ID: 26D07
Mathematics Subject Classification ID: 26D20
Mathematics Subject Classification ID: 33B15
zbMATH DE Number: 5315387
zbMATH Keywords: Kershaw's double inequality
zbMATH Keywords: ratio of gamma functions
zbMATH Keywords: psi function
zbMATH Keywords: polygamma function
zbMATH Keywords: divided difference
zbMATH Keywords: upper bound
zbMATH Keywords: refinement
zbMATH Keywords: extension
zbMATH Keywords: generalization
zbMATH Keywords: identric mean
zbMATH Keywords: exponential mean
zbMATH Keywords: generalized logarithmic mean
zbMATH Keywords: completely monotonic function
zbMATH Keywords: logarithmically completely monotonic function
MaRDI profile type: Publication
full work available at URL: j.cam.2007.07.037
OpenAlex ID: W2082383656
cites work: Q3807464
cites work: On some properties of digamma and polygamma functions
cites work: Integral representation of some functions related to the gamma function
cites work: Q4441514
cites work: On Gamma Function Inequalities
cites work: Comparable means and generalized convexity
cites work: The best bounds in Gautschi's inequality
cites work: Some Elementary Inequalities Relating to the Gamma and Incomplete Gamma Function
cites work: Some Extensions of W. Gautschi's Inequalities for the Gamma Function
cites work: A class of logarithmically completely monotonic functions and the best bounds in the first Kershaw's double inequality
cites work: Three classes of logarithmically completely monotonic functions involving gamma and psi functions
cites work: A complete monotonicity property of the gamma function
cites work: Some completely monotonic functions involving the gamma and polygamma functions
cites work: What is the Laplace Transform?
DOI: 10.1016/J.CAM.2007.07.037
description: scientific article; zbMATH DE number 5315387