On a Class of Functional Equations in Distribution
Copyright policy )On a Class of Functional Equations in Distribution
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.
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Measures of information, entropy, Applied Mathematics, functional equations, sum form information measures, distributions, Operations with distributions and generalized functions, linear operators, general solutions, Functional equations for functions with more general domains and/or ranges, functional equation, Analysis, information measures
Measures of information, entropy, Applied Mathematics, functional equations, sum form information measures, distributions, Operations with distributions and generalized functions, linear operators, general solutions, Functional equations for functions with more general domains and/or ranges, functional equation, Analysis, information measures
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