Results 11 to 20 of about 6,278,898 (215)

Logarithmically completely monotonic functions involving the Generalized Gamma Function

open access: yesLe Matematiche, 2010
By a simple approach, two classes of functions involving generalization Euler's gamma function and originating from certain  problems of traffic flow are proved to be logarithmically  completely monotonic and a class of functions involving the psi ...
Faton Merovci, Valmir Krasniqi
doaj   +2 more sources

Three Classes of Logarithmically Completely Monotonic Functions Involving Gamma and Psi Functions [PDF]

open access: yes, 2006
By a simple approach, two classes of functions involving Euler’s gamma function and originating from certain problems of traffic flow are proved to be logarithmically completely monotonic and a class of functions involving the psi function is showed ...
Qi, Feng
core   +6 more sources

Wendel-Gautschi-Kershaw's Inequalities and Sufficient and Necessary Conditions that a Class of Functions Involving Ratio of Gamma Functions are Logarithmically Completely Monotonic [PDF]

open access: yes, 2007
In the article, sufficient and necessary conditions that a class of functions involving ratio of Euler’s gamma functions and originating from Wendel-Gautschi-Kershaw’s double inequalities are logarithmically completely monotonic are presented.
Qi, Feng, Guo, Bai-Ni
core   +6 more sources

Logarithmically Completely Monotonic Ratios of Mean Values and an Application [PDF]

open access: yes, 2005
In the article, some strictly Logarithmically completely monotonic ratios of mean values are ...
Qi, Feng, Chen, Chao-Ping
core   +6 more sources

From inequalities involving exponential functions and sums to logarithmically complete monotonicity of ratios of gamma functions. [PDF]

open access: yesJ Math Anal Appl, 2021
In the paper, the authors review origins, motivations, and generalizations of a series of inequalities involving several exponential functions and sums, establish three new inequalities involving finite exponential functions and sums by finding convexity of a function related to the generating function of the Bernoulli numbers, survey the history ...
Qi F, Guo BN.
europepmc   +5 more sources

Logarithmically Complete Monotonicity of a Function Involving the Gamma Functions [PDF]

open access: yesAmerican Journal of Applied Mathematics, 2020
The monotonic functions were first introduced by S. Bernstein as functions which are non-negative with non-negative derivatives of all orders. He proved that such functions are necessarily analytic and he showed later that if a function is absolutely monotonic on the negative real axis then it can be represented there by a Laplace- Stieitjes integral ...
Mohammad Soueycatt   +3 more
openaire   +1 more source

Completely monotonic degrees for a difference between the logarithmic and psi functions [PDF]

open access: yesJournal of Computational and Applied Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feng Qi 0001, Ai-Qi Liu
openaire   +3 more sources

A Class of Logarithmically Completely Monotonic Functions and Their Applications [PDF]

open access: yesJournal of Applied Mathematics, 2014
We study the recent investigations on a class of functions which are logarithmically completely monotonic. Two open problems are also presented.
openaire   +4 more sources

A New Lower Bound in the Second Kershaw's Double Inequality [PDF]

open access: yes, 2007
In the paper, a new and elegant lower bound in the second Kershaw’s double inequality is established, some alternative simple and polished proofs are given, several deduced functions involving the gamma and psi functions are proved to be decreasingly ...
Qi, Feng
core   +3 more sources

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