Absolutely Monotone Functions

1954 ◽  
Vol 60 (3) ◽  
pp. 467 ◽  
Author(s):  
Brockway McMillan
Keyword(s):  
Monotone Functions ◽  
Absolutely Monotone

A note on generalized absolutely monotone functions and a Besicovitch-type problem

1974 ◽  
Vol 17 (3) ◽  
pp. 271-276
Author(s):  
Eitan Lapidot
Keyword(s):  
Type Problem ◽  
Monotone Functions ◽  
Absolutely Monotone

A Note on Completely and Absolutely Monotone Functions

1982 ◽  
Vol 25 (2) ◽  
pp. 143-148 ◽  
Author(s):  
Arvind Mahajan ◽  
Dieter K. Ross
Keyword(s):  
Differential Equations ◽  
Linear Differential Equations ◽  
Partial Answer ◽  
Monotone Functions ◽  
First Order ◽  
Simple Theorem ◽  
Completely Monotone ◽  
Absolute Monotonicity ◽  
Linear Differential ◽  
Absolutely Monotone

AbstractThe solutions of a certain class of first order linear differential equations are shown to be either completely or absolutely monotone depending on the nature of its coefficients. This is a simple theorem which is used to deduce a number of new and interesting results dealing with the complete and absolute monotonicity of functions. In particular, a partial answer is supplied to a question posed by Askey and Pollard: “When is completely monotone?”

On generalized absolutely monotone functions

1969 ◽  
Vol 7 (2) ◽  
pp. 137-146 ◽  
Author(s):  
D. Amir ◽  
Z. Ziegler
Keyword(s):  
Monotone Functions ◽  
Absolutely Monotone

scholarly journals On Singular Generalized Absolutely Monotone Functions

1994 ◽  
Vol 79 (2) ◽  
pp. 199-221
Author(s):  
E. Lapidot
Keyword(s):  
Monotone Functions ◽  
Absolutely Monotone

Generalized absolutely monotone functions

1965 ◽  
Vol 3 (3) ◽  
pp. 173-180 ◽  
Author(s):  
Samuel Karlin ◽  
Zvi Ziegler
Keyword(s):  
Monotone Functions ◽  
Absolutely Monotone

Geometrically regularly varying monotone functions and iteration

1975 ◽  
Author(s):  
Richard Fong-I Chung
Keyword(s):  
Monotone Functions ◽  
Regularly Varying

CONTROLLED INTERSECTION THEOREMS FOR CONTINUOUS NOWHERE MONOTONE FUNCTIONS

1993 ◽  
Vol 19 (1) ◽  
pp. 44
Author(s):  
Brown ◽  
Darji
Keyword(s):  
Monotone Functions

Nowhere Monotone Functions

1976 ◽  
Vol 1 (1) ◽  
pp. 44
Author(s):  
Foran
Keyword(s):  
Monotone Functions

On fixed point theorems of monotone functions in Ordered metric spaces

2021 ◽  
Author(s):  
K. Kalyani ◽  
N. Seshagiri Rao ◽  
Belay Mitiku
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Monotone Functions ◽  
Ordered Metric Spaces

scholarly journals Tail Asymptotics for Monotone-Separable Networks

2007 ◽  
Vol 44 (02) ◽  
pp. 306-320
Author(s):  
Marc Lelarge
Keyword(s):  
Queueing Network ◽  
Network Models ◽  
Moment Generating Function ◽  
Stochastic Petri Nets ◽  
Arrival Process ◽  
Polling Systems ◽  
Tail Asymptotics ◽  
State Variables ◽  
Monotone Functions ◽  
Jackson Networks

A network belongs to the monotone separable class if its state variables are homogeneous and monotone functions of the epochs of the arrival process. This framework contains several classical queueing network models, including generalized Jackson networks, max-plus networks, polling systems, multiserver queues, and various classes of stochastic Petri nets. We use comparison relationships between networks of this class with independent and identically distributed driving sequences and the GI/GI/1/1 queue to obtain the tail asymptotics of the stationary maximal dater under light-tailed assumptions for service times. The exponential rate of decay is given as a function of a logarithmic moment generating function. We exemplify an explicit computation of this rate for the case of queues in tandem under various stochastic assumptions.

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