scholarly journals On Landau-Kolmogorov problem on the interval for absolutely monotonic functions

2021 ◽  
Vol 17 ◽  
pp. 120
Author(s):  
D.S. Skorokhodov
Keyword(s):  
Finite Interval ◽  
Monotonic Functions ◽  
Absolutely Monotonic Functions ◽  
Class Of Functions ◽  
Absolutely Monotonic

We solve the Landau-Kolmogorov problem and the Kolmogorov problem for three positive numbers on the class of functions which are absolutely monotonic on a finite interval.

Some absolutely monotonic functions

1979 ◽  
Vol 33 (1-2) ◽  
pp. 3-5
Author(s):  
R. Askey
Keyword(s):  
Monotonic Functions ◽  
Absolutely Monotonic Functions ◽  
Absolutely Monotonic

An extension of the Rao-Rubin characterization of the Poisson distribution

1977 ◽  
Vol 14 (03) ◽  
pp. 640-646 ◽  
Author(s):  
D. N. Shanbhag
Keyword(s):  
Poisson Distribution ◽  
Present Note ◽  
Related Result ◽  
Renewal Theory ◽  
Extended Version ◽  
Monotonic Functions ◽  
Absolutely Monotonic Functions ◽  
Absolutely Monotonic

Using Bernstein's theorem concerning absolutely monotonic functions, Rao and Rubin (1964) have established a characterization of the Poisson distribution. The present note arrives at an extended version of this result using a technique existing in the renewal theory. A variant of a related result due to Srivastava and Srivastava (1970) and an extension of the result of Talwalker (1970) are also presented.

An extension of the Rao-Rubin characterization of the Poisson distribution

1977 ◽  
Vol 14 (3) ◽  
pp. 640-646 ◽  
Author(s):  
D. N. Shanbhag
Keyword(s):  
Poisson Distribution ◽  
Present Note ◽  
Related Result ◽  
Renewal Theory ◽  
Extended Version ◽  
Monotonic Functions ◽  
Absolutely Monotonic Functions ◽  
Absolutely Monotonic

Using Bernstein's theorem concerning absolutely monotonic functions, Rao and Rubin (1964) have established a characterization of the Poisson distribution. The present note arrives at an extended version of this result using a technique existing in the renewal theory. A variant of a related result due to Srivastava and Srivastava (1970) and an extension of the result of Talwalker (1970) are also presented.

scholarly journals On the Laplace Transform of Absolutely Monotonic Functions

2016 ◽  
Vol 72 (3) ◽  
pp. 1041-1053 ◽  
Author(s):  
Stamatis Koumandos ◽  
Henrik L. Pedersen
Keyword(s):  
Laplace Transform ◽  
Monotonic Functions ◽  
Absolutely Monotonic Functions ◽  
The Laplace Transform ◽  
Absolutely Monotonic

Absolutely monotonic functions related to Euler’s gamma function and Barnes’ double and triple gamma function

2010 ◽  
Vol 163 (1) ◽  
pp. 51-69 ◽  
Author(s):  
Stamatis Koumandos ◽  
Henrik L. Pedersen
Keyword(s):  
Gamma Function ◽  
Monotonic Functions ◽  
Absolutely Monotonic Functions ◽  
Absolutely Monotonic

Indicators of entire absolutely monotonic functions of finite order

1987 ◽  
Vol 27 (6) ◽  
pp. 811-825
Author(s):  
A. A. Gol'dberg ◽  
I. V. Ostrovskii
Keyword(s):  
Finite Order ◽  
Monotonic Functions ◽  
Absolutely Monotonic Functions ◽  
Absolutely Monotonic

scholarly journals Some properties of absolutely monotonic functions

1946 ◽  
Vol 52 (6) ◽  
pp. 458-463 ◽  
Author(s):  
P. C. Rosenbloom
Keyword(s):  
Monotonic Functions ◽  
Absolutely Monotonic Functions ◽  
Absolutely Monotonic
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