Results 71 to 80 of about 6,291 (196)

Testing for termination with monotonicity constraints

open access: yes, 2005
domains of monotonicity constraints or of size change graphs. First, the transition relation for a given program is approximated by a set of descriptions. Then, this set is closed under a composition operation.
Peter J. Stuckey   +5 more
core   +1 more source

Complete Monotonicity and Reduction Formulas for Certain Kampé de Fériet Functions

open access: yesAxioms
We extend the classical Euler-type integral representations for the Appell functions F1, F2, and F3, to the appropriate Kampé de Fériet functions by using integration against the Meijer–Nørlund G-function.
Dmitrii Karp, Elena Prilepkina
doaj   +1 more source

The Renegotiation-Proofness Principle and Costly Renegotiation

open access: yesGames, 2013
We study contracting and costly renegotiation in settings of complete, but unverifiable information, using the mechanism-design approach. We show how renegotiation activity is best modeled in the fundamentals of the mechanism-design framework, so that ...
James R. Brennan, Joel Watson
doaj   +1 more source

Monotonicity properties of determinants of special functions

open access: yes, 2007
We prove the absolute monotonicity or complete monotonicity of some determinant functions whose entries involve psi((m))(x) = (d(m)/dx(m))[Gamma\u27(x)/Gamma(x)], modified Bessel functions I-v, K-v, the confluent hypergeometric function Phi, and the ...
LAFORGIA, Andrea Ivo Antonio   +3 more
core   +2 more sources

On complete monotonicity for several classes of functions related to ratios of gamma functions

open access: yesJournal of Inequalities and Applications, 2019
Let Γ(x) $\varGamma (x)$ denote the classical Euler gamma function. The logarithmic derivative ψ(x)=[lnΓ(x)]′=Γ′(x)Γ(x) $\psi (x)=[\ln \varGamma (x)]'=\frac{\varGamma '(x)}{ \varGamma (x)}$, ψ′(x) $\psi '(x)$, and ψ″(x) $\psi ''(x)$ are, respectively ...
Feng Qi, Ravi P. Agarwal
doaj   +1 more source

Heine Representations And Monotonicity Properties Of Determinants And Pfaffians

open access: yes, 2015
We establish integral representations of Heine type for certain integrals of determinants. We use these representations to derive monotonicity properties of such determinants. New integral representations of Heine type for biorthogonal functions obtained
Ismail, Mourad E.H., Simeonov, Plamen
core   +2 more sources

On a Generic Fractional Derivative Associated with the Riemann–Liouville Fractional Integral

open access: yesAxioms
In this paper, a generic fractional derivative is defined as a set of the linear operators left-inverse to the Riemann–Liouville fractional integral. Then, the theory of the left-invertible operators developed by Przeworska-Rolewicz is applied to deduce ...
Yuri Luchko
doaj   +1 more source

Logarithmically Completely Monotonic Ratios of Mean Values and an Application

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

A generation method for completely monotone functions

open access: yesApplicable Analysis and Discrete Mathematics, 2019
In this article we present technique how to produce completely monotone functions using linear functionals and already known families of completely monotone functions. After that, using mean value theorems, we construct means of Cauchy type that have monotonicity properties.
openaire   +2 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

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  

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