Results 131 to 140 of about 14,913 (164)
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Completely monotone functions on lie semigroups

Ukrainian Mathematical Journal, 2000
A totally monotone function on a semigroup \(S\) was defined by \textit{A. Devinatz} and \textit{A. E. Nussbaum} [Duke Math. J. 28, 221-237 (1961; Zbl 0118.11201)] as a function satisfying certain difference inequalities. The author shows that the latter are equivalent to some differential inequalities if \(S\) is a Lie semigroup.
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A Property of completely monotonic functions

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1987
AbstractA non-negative function f(t), t > 0, is said to be completely monotonic if its derivatives satisfy (-1)n fn (t) ≥ 0 for all t and n = 1, 2, …, For such a function, either f(t + δ) / f(t) is strictly increasing in t for each δ > 0, or f(t) = ce-dt for some constants c and d, and for all t. An application of this result is given.
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Differential Approximation of Completely Monotonic Functions

SIAM Journal on Numerical Analysis, 1981
The various differential approximation schemes for producing an exponential sum approximation to a given function F are placed within a common mathematical framework, and localization theorems are established in the important case where F is completely monotonic. The replacement of the least squares minimization by a Galerkin orthogonalization leads to
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APPROXIMATION OF AND BY COMPLETELY MONOTONE FUNCTIONS

The ANZIAM Journal, 2019
We investigate convergence in the cone of completely monotone functions. Particular attention is paid to the approximation of and by exponentials and stretched exponentials. The need for such an analysis is a consequence of the fact that although stretched exponentials can be approximated by sums of exponentials, exponentials cannot in general be ...
R. J. LOY, R. S. ANDERSSEN
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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 \(|||\cdot |||\).
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Logarithmically completely monotonic functions and applications

Applied Mathematics and Computation, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Completely Monotonic Function: 11140

The American Mathematical Monthly, 2006
Walther Janous, Rolf Richberg
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Clinical management of metastatic colorectal cancer in the era of precision medicine

Ca-A Cancer Journal for Clinicians, 2022
Fortunato Ciardiello   +2 more
exaly  

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