Zobrazeno 1 - 10
of 102
pro vyhledávání: '"MINCULETE, NICUSOR"'
In this article we obtain certain inequalities involving the entropy of a positive integer and divergence of two positive integers, respectively the entropy of an ideal and divergence of two ideals of a ring of algebraic integers.
Comment: 16 pa
Comment: 16 pa
Externí odkaz:
http://arxiv.org/abs/2409.18229
Autor:
Conde, Cristian, Minculete, Niçusor
The main study of this article is the characterization of Richard's inequality, because it is closely related to Buzano's inequality. Finally, we present a newapproach for Richard's inequality, where we use the Selberg operator.
Externí odkaz:
http://arxiv.org/abs/2403.17559
Autor:
Minculete, Nicusor, Savin, Diana
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 the entropy of a positive integer number and the divergence of two numbe
Externí odkaz:
http://arxiv.org/abs/2305.07975
Publikováno v:
Carpathian Journal of Mathematics, 2024 Jan 01. 40(1), 121-137.
Externí odkaz:
https://www.jstor.org/stable/27259300
This paper aims to characterize the function appearing in the weighted Hermite-Hadamard inequality. We provide improved inequalities for the weighted means as applications of the obtained results. Modifications of the weighted Hermite-Hadamard inequa
Externí odkaz:
http://arxiv.org/abs/2212.14796
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 983-1018 (2024)
The aim of this study is to obtain several inequalities involving the Berezin number and the Berezin norm for various combinations of operators acting on a reproducing kernel Hilbert space. First, we present some bounds regarding the Berezin number a
Externí odkaz:
https://doaj.org/article/b8e4e32417f0497a964418bf51c4a527
Autor:
Minculete, Nicusor, Savin, Diana
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 generalize this notion for ideals and we find some of its properties.
Externí odkaz:
http://arxiv.org/abs/2210.12149
Autor:
Furuichi, Shigeru, Minculete, Nicuşor
Publikováno v:
Entropy 2021, 23(5), 514
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 inequality. We also study some properties on the difference between the weight
Externí odkaz:
http://arxiv.org/abs/2104.12925
Autor:
Krnic, Mario, Minculete, Nicusor
Based on a suitable improvement of a triangle inequality, we derive new mutual bounds for $p$-angular distance $\alpha_p[x,y]=\big\Vert \Vert x\Vert^{p-1}x- \Vert y\Vert^{p-1}y\big\Vert$, in a normed linear space $X$. We show that our estimates are m
Externí odkaz:
http://arxiv.org/abs/2010.11814
Publikováno v:
Mathematical Inequalities and Applications 24(2) (2021), 373-398
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 (weighted) arithmetic-geometric mean inequality, Acz\'el's, Popoviciu's and Be
Externí odkaz:
http://arxiv.org/abs/2006.10816