13 citations · 48 across the 14 of their papers we have counts for
14 papers
Some results about entropy and divergence in number theory
Daniel C. Mayer, Nicusor Minculete, Diana Savin +1
We obtain inequalities involving the entropy of a positive integer and the divergence of two positive integers, respectively the entropy of an ideal and the divergence of two ideal…
Some properties of a type of the entropy of an ideal and the divergence of two ideals
Nicusor Minculete, Diana Savin
The aim of this paper is to study certain properties of the Kullback-Leibler distance between two positive integer numbers or between two ideals. We present some results related th…
A type of the entropy of an ideal
Nicusor Minculete, Diana Savin
In this article we find some properties of certain types of entropies of a natural number. Also, regarding the entropy H of a natural number, introduced by Minculete and Pozna, we…
Refined Young inequality and its application to divergences
Shigeru Furuichi, Nicuşor Minculete
We give bounds on the difference between the weighted arithmetic mean and the weighted geometric mean. These imply refined Young inequalities and the reverses of the Young inequali…
Bounds for the -angular distance and characterizations of inner product spaces
Mario Krnic, Nicusor Minculete
Based on a suitable improvement of a triangle inequality, we derive new mutual bounds for -angular distance $α_p[x,y]=\big\Vert \Vert x\Vert^{p-1}x- \Vert y\Vert^{p-1}y\big\Vert…
Inequalities from Lorentz-Finsler norms
Nicusor Minculete, Christian Pfeifer, Nicoleta Voicu
We show that Lorentz-Finsler geometry offers a powerful tool in obtaining inequalities. With this aim, we first point out that a series of famous inequalities such as: the (weighte…