On measurable solutions of a functional equation and their application to information theory
Aplikace matematiky (1983)
- Volume: 28, Issue: 2, page 103-107
- ISSN: 0862-7940
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topDial, Gur. "On measurable solutions of a functional equation and their application to information theory." Aplikace matematiky 28.2 (1983): 103-107. <http://eudml.org/doc/15281>.
@article{Dial1983,
abstract = {In this paper, measurable solutions of a functional equation with four unknown functions are obtained. As an application of the measurable solutions a joint characterization of Shannon’s entropy and entropy of type $\beta $ is given.},
author = {Dial, Gur},
journal = {Aplikace matematiky},
keywords = {measurable solutions; system; Shannon’s entropy; measurable solutions; system; Shannon's entropy},
language = {eng},
number = {2},
pages = {103-107},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On measurable solutions of a functional equation and their application to information theory},
url = {http://eudml.org/doc/15281},
volume = {28},
year = {1983},
}
TY - JOUR
AU - Dial, Gur
TI - On measurable solutions of a functional equation and their application to information theory
JO - Aplikace matematiky
PY - 1983
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 28
IS - 2
SP - 103
EP - 107
AB - In this paper, measurable solutions of a functional equation with four unknown functions are obtained. As an application of the measurable solutions a joint characterization of Shannon’s entropy and entropy of type $\beta $ is given.
LA - eng
KW - measurable solutions; system; Shannon’s entropy; measurable solutions; system; Shannon's entropy
UR - http://eudml.org/doc/15281
ER -
References
top- J. Aczel, Lectures on functional equations and their applications, Academic Press, New York, 1966. (1966) Zbl0139.09301MR0208210
- J. Aczel Z. Daroczy, On measures of information and their characterizations, Academic Press, New York, 1975. (1975) MR0689178
- Z. Daroczy, Losonczi, Über die Erweiterung der auf einer Punktmenge additive Funktion, Publ Math. Debrecen, 14 (1967) 239-245. (1967) MR0240492
- I. J. Taneja, A joint characterization of Shannons entropy of type through a functional equation, Journal of Mathematical Sciences, (10, 1975), 69-74. (1975) MR0539497
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