Add to ORKGBy using some connections of the entropy function with certain special means of two arguments, the author refines earlier entropy inequalities, or obtains new relations (identities and inequalities) for H(p, q)
Interpolation inequalities play an essential role in analysis with fundamental consequences in mathe...
Some logarithmic trace inequalities involving the notions of relative entropy are reobtained from a ...
It is well known that the entropy H(X) of a discrete random variable X is always greater than or equ...
In this note, using some refinements of Jensen’s discrete inequality, we give some new refinements o...
In the last lecture, we introduced entropy H(X), and conditional entry H(X|Y), and showed how they a...
In this paper we derive some upper bounds for the relative entropy D(p || q) of two probability dist...
International audience<p>Yet another simple proof of the entropy power inequality is given, which av...
AbstractIn this paper, we derive some upper bounds for the relative entropy D(p ‖ q) of two probabil...
By the use of a counterpart inequality for Jensen's discrete inequality established in [1] for ...
AbstractWe establish new lower and upper bounds for Jensen’s discrete inequality. Applying those res...
It is well known that the entropy H(X) of a discrete random variable X is always greater than or equ...
Abstract-The entropy power inequality states that the effective vari-ance (entropy power) of the sum...
AbstractA simple proof of the entropy inequality due to Chung, Graham, Frankl and Shearer [F.R.K. Ch...
It is well known that the entropy H(X) of a finite random variable is always greater or equal to the...
summary:Entropy of type $(\alpha, \beta)$ is characterized in this paper by an axiomatic approach. I...
Interpolation inequalities play an essential role in analysis with fundamental consequences in mathe...
Some logarithmic trace inequalities involving the notions of relative entropy are reobtained from a ...
It is well known that the entropy H(X) of a discrete random variable X is always greater than or equ...
In this note, using some refinements of Jensen’s discrete inequality, we give some new refinements o...
In the last lecture, we introduced entropy H(X), and conditional entry H(X|Y), and showed how they a...
In this paper we derive some upper bounds for the relative entropy D(p || q) of two probability dist...
International audience<p>Yet another simple proof of the entropy power inequality is given, which av...
AbstractIn this paper, we derive some upper bounds for the relative entropy D(p ‖ q) of two probabil...
By the use of a counterpart inequality for Jensen's discrete inequality established in [1] for ...
AbstractWe establish new lower and upper bounds for Jensen’s discrete inequality. Applying those res...
It is well known that the entropy H(X) of a discrete random variable X is always greater than or equ...
Abstract-The entropy power inequality states that the effective vari-ance (entropy power) of the sum...
AbstractA simple proof of the entropy inequality due to Chung, Graham, Frankl and Shearer [F.R.K. Ch...
It is well known that the entropy H(X) of a finite random variable is always greater or equal to the...
summary:Entropy of type $(\alpha, \beta)$ is characterized in this paper by an axiomatic approach. I...
Interpolation inequalities play an essential role in analysis with fundamental consequences in mathe...
Some logarithmic trace inequalities involving the notions of relative entropy are reobtained from a ...
It is well known that the entropy H(X) of a discrete random variable X is always greater than or equ...