Results 251 to 260 of about 137,509 (276)

Some Norm Inequalities for Completely Monotone Functions

SIAM Journal on Matrix Analysis and Applications, 2000
Summary: Let \(A\), \(B\) be \(n\times n\) complex positive semidefinite matrices, and let \(f\) be a completely monotone function on \([0,\infty)\). We prove that \(2|||f(A+ B)|||\leq |||f(2A)+ f(2B)|||\) for all unitarily invariant norms \(|||\cdot |||\).
openaire   +2 more sources

Completely monotone functions

2009
Ward Cheney, Will Light
openaire   +1 more source

A Completely Monotonic Function: 11140

The American Mathematical Monthly, 2006
Walther Janous, Rolf Richberg
openaire   +1 more source

Some classes of completely monotonic functions

2002
Let \(P_{n}\left( x\right) =x^{n}+c_{n-1}x^{n-1}+\cdots +c_{0}\) be a polynomial of degree \(n\geq 1\) with real coefficients. For \(x>0\) define the functions \(F_{n}\) and \(G_{n}\) by \[ F_{n}(x)=P_{n}(x)[e-(1+\tfrac 1x)^x ]\quad \text{and}\quad G_{n}(x)=P_{n}(x)[(1+\tfrac 1x)^{x+1}-e], \] respectively.
Berg, Christian, Alzer, Horst
openaire   +2 more sources

Logarithmically completely monotonic functions related to the q-gamma function and its applications

Analysis and Mathematical Physics, 2022
Khaled Mehrez, Sourav Das
exaly  

A completely monotonic function involving the tri-gamma function and with degree one

Applied Mathematics and Computation, 2012
Bai-Ni Guo, Feng Qi
exaly  

Completely monotonic functions of positive order and asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function

Journal of Mathematical Analysis and Applications, 2009
Stamatis Koumandos
exaly  

Inequalities, asymptotic expansions and completely monotonic functions related to the gamma function

Applied Mathematics and Computation, 2015
Chao-Ping Chen
exaly  

Completely monotone functions

2004
openaire   +1 more source

Three classes of logarithmically completely monotonic functions involving gamma and psi functions

Integral Transforms and Special Functions, 2007
Feng Qi
exaly