Hankel Transforms of General Monotone Functions

2019 ◽  
pp. 87-104 ◽  
Author(s):  
Alberto Debernardi
Keyword(s):  
Monotone Functions ◽  
Hankel Transforms

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

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.

scholarly journals An Application of Hankel Transforms in Axially Symmetric Potential Flow

1956 ◽  
Vol 9 (3) ◽  
pp. 128-131
Author(s):  
A. G. Mackie
Keyword(s):  
New York ◽  
Incompressible Fluid ◽  
Circular Hole ◽  
Potential Flow ◽  
Fourier Transforms ◽  
The Other ◽  
Axially Symmetric ◽  
Symmetric Potential ◽  
Physical Interest ◽  
Hankel Transforms

In his book on Hydrodynamics, Lamb obtained a solution for the potential flow of an incompressible fluid through a circular hole in a plane wall. More recently Sneddon (Fourier Transforms, New York, 1951) obtained Lamb's solution by an elegant application of Hankel transforms.Since the streamlines in this solution are symmetric about the wall, it is not of particular physical interest. In this note, Sneddon's method is used to give a solution in which the fluid is infinite in extent on one side of the aperture but issues as a jet of finite diameter on the other side.

Most Monotone Functions are not Singular

1982 ◽  
Vol 89 (7) ◽  
pp. 466-469 ◽  
Author(s):  
F. S. Cater
Keyword(s):  
Monotone Functions

scholarly journals Reduction theorems for operators on the cones of monotone functions

2013 ◽  
Vol 405 (1) ◽  
pp. 156-172 ◽  
Author(s):  
Amiran Gogatishvili ◽  
Vladimir D. Stepanov
Keyword(s):  
Monotone Functions

Moments of convex and monotone functions

1972 ◽  
Vol 76 (2) ◽  
pp. 135-137 ◽  
Author(s):  
Togo Nishiura ◽  
Franz Schnitzer
Keyword(s):  
Monotone Functions

A Class of Monotone Functions

1939 ◽  
Vol 61 (4) ◽  
pp. 941
Author(s):  
G. Baley Price
Keyword(s):  
Monotone Functions
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