summary: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
This paper contains a characterization of Shannon's entropy measure H(p1 ,…, pn) = −∑pi log pi from ...
In the literature, it is suggested that one can maximize Shannon´s entropy -Sum on i Pi ln(Pi) subj...
Via a first-order linear differential equation, we determine a general link between two different so...
summary:In this paper, measurable solutions of a functional equation with four unknown functions are...
The general solutions of a functional equation, containing two unknown functions, and related to a f...
The purpose of this note is to give a general solution of two functional equations connected to the ...
The general solutions of a sum form functional equation have been investigated. The relevance of the...
AbstractIn this article, we present the most general solution of the functional equationsf(xy)+f((1−...
1. In [2,5,6,7] a.o. several interpretations of the inequality for all such that were given and the ...
The representation for measures of information which are symmetric, expansible, and have the branchi...
AbstractLet (Ω, β, μX) and (ʌ, F, μN) be probability spaces, with f: Ω × ʌ ⇒ ʌ a β × F|F measurable ...
AbstractIn this paper, we first prove that the generalized fundamental equation of information depen...
W pracy dowodzi się twierdzenia które orzeka, że jeżeli dane funkcje f i h są monofoniczne (względn...
summary:We describe a conceptual approach which provides a unified view of various entropy-like func...
As it is well known in statistical physics the stationary distribution can be obtained by maximizing...
This paper contains a characterization of Shannon's entropy measure H(p1 ,…, pn) = −∑pi log pi from ...
In the literature, it is suggested that one can maximize Shannon´s entropy -Sum on i Pi ln(Pi) subj...
Via a first-order linear differential equation, we determine a general link between two different so...
summary:In this paper, measurable solutions of a functional equation with four unknown functions are...
The general solutions of a functional equation, containing two unknown functions, and related to a f...
The purpose of this note is to give a general solution of two functional equations connected to the ...
The general solutions of a sum form functional equation have been investigated. The relevance of the...
AbstractIn this article, we present the most general solution of the functional equationsf(xy)+f((1−...
1. In [2,5,6,7] a.o. several interpretations of the inequality for all such that were given and the ...
The representation for measures of information which are symmetric, expansible, and have the branchi...
AbstractLet (Ω, β, μX) and (ʌ, F, μN) be probability spaces, with f: Ω × ʌ ⇒ ʌ a β × F|F measurable ...
AbstractIn this paper, we first prove that the generalized fundamental equation of information depen...
W pracy dowodzi się twierdzenia które orzeka, że jeżeli dane funkcje f i h są monofoniczne (względn...
summary:We describe a conceptual approach which provides a unified view of various entropy-like func...
As it is well known in statistical physics the stationary distribution can be obtained by maximizing...
This paper contains a characterization of Shannon's entropy measure H(p1 ,…, pn) = −∑pi log pi from ...
In the literature, it is suggested that one can maximize Shannon´s entropy -Sum on i Pi ln(Pi) subj...
Via a first-order linear differential equation, we determine a general link between two different so...
DOI
Add to ORKG