The general solutions of a functional equation, containing two unknown functions, and related to a functional equation characterizing the Shannon entropy and the entropy of degree alpha, are obtaine
An extension of the entropy power inequality to the form N_r^α (X + Y) ≥ N_r^α (X) + N_r^α (Y) with ...
AbstractIn this article, we present the most general solution of the functional equationsf(xy)+f((1−...
In this paper, we present some generalizations of an inequality of Hardy-Littlewood-Pólya. We give t...
The general solutions of a sum form functional equation have been investigated. The relevance of the...
summary:In this paper, we obtain all possible general solutions of the sum form functional equations...
summary:In this paper, measurable solutions of a functional equation with four unknown functions are...
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 containing two unknown mappings, without imp...
AbstractIn this paper, we first prove that the generalized fundamental equation of information depen...
summary:In this article, we prove the existence of entropy solutions for the Dirichlet problem $$ (P...
AbstractColombeau’s algebra of generalized functions is used to study the solutions to a single hype...
Here we assume a discrete random variable, possessing a one-to-one correspondence with the set of na...
The paper provides the general solutions of a sum form functional equa- tion containing three unknow...
Abstract. The general solutions of a sum form functional equation have been investigated. The releva...
International audienceThis part of the paper finalizes the research started in Lepski (2013b)
An extension of the entropy power inequality to the form N_r^α (X + Y) ≥ N_r^α (X) + N_r^α (Y) with ...
AbstractIn this article, we present the most general solution of the functional equationsf(xy)+f((1−...
In this paper, we present some generalizations of an inequality of Hardy-Littlewood-Pólya. We give t...
The general solutions of a sum form functional equation have been investigated. The relevance of the...
summary:In this paper, we obtain all possible general solutions of the sum form functional equations...
summary:In this paper, measurable solutions of a functional equation with four unknown functions are...
The purpose of this note is to give a general solution of two functional equations connected to the ...
The general solutions of a sum form functional equation containing two unknown mappings, without imp...
AbstractIn this paper, we first prove that the generalized fundamental equation of information depen...
summary:In this article, we prove the existence of entropy solutions for the Dirichlet problem $$ (P...
AbstractColombeau’s algebra of generalized functions is used to study the solutions to a single hype...
Here we assume a discrete random variable, possessing a one-to-one correspondence with the set of na...
The paper provides the general solutions of a sum form functional equa- tion containing three unknow...
Abstract. The general solutions of a sum form functional equation have been investigated. The releva...
International audienceThis part of the paper finalizes the research started in Lepski (2013b)
An extension of the entropy power inequality to the form N_r^α (X + Y) ≥ N_r^α (X) + N_r^α (Y) with ...
AbstractIn this article, we present the most general solution of the functional equationsf(xy)+f((1−...
In this paper, we present some generalizations of an inequality of Hardy-Littlewood-Pólya. We give t...
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