Treffer: On a Class of Functional Equations in Distribution: On a class of functional equations in distribution

Title:
On a Class of Functional Equations in Distribution: On a class of functional equations in distribution
Authors:
Prasanna K. Sahoo, Shishen Xie, Elias Deeba
Source:
Journal of Mathematical Analysis and Applications. 223:334-346
Publisher Information:
Elsevier BV, 1998.
Publication Year:
1998
Subject Terms:
Measures of information, entropy, Applied Mathematics, functional equations, sum form information measures, distributions, 01 natural sciences, Operations with distributions and generalized functions, linear operators, general solutions, Functional equations for functions with more general domains and/or ranges, functional equation, 0101 mathematics, Analysis, information measures
Document Type:
Fachzeitschrift Article
File Description:
application/xml
Language:
English
ISSN:
0022-247X
DOI:
10.1006/jmaa.1998.5995
Access URL:
https://core.ac.uk/display/82126554
https://www.sciencedirect.com/science/article/pii/S0022247X98959959
Rights:
Elsevier Non-Commercial
Accession Number:
edsair.doi.dedup.....277a71df6ac4333dfbf80b1572c444e2
Database:
OpenAIRE

Weitere Informationen

The most general solutions of the functional equations arising in connection with the characterization of sum form information measures, \[ f(xy)+ f(x(1-y))+ f(y(1-x))+ f((1-x)(1-y))= f(x)+ f(1-x)+ f(y)+ f(1-y), \] and \[ f(xy)+ f((1-x)(1-y))= f(x(1-y))+ f(y(1-x)), \] are obtained in the domain of distributions.