New generalized 'Useful'entropies using weighted quasi-linear mean for efficient networking
A Singhal, DK Sharma - Mobile networks and applications, 2022 - Springer
Entropies have significant importance in the field of information and communication theory.
They have an essential role in measuring along with modeling the complexity and …
They have an essential role in measuring along with modeling the complexity and …
Mathematical inequalities for some divergences
S Furuichi, FC Mitroi - Physica A: Statistical Mechanics and its Applications, 2012 - Elsevier
Some natural phenomena are deviating from standard statistical behavior and their study
has increased interest in obtaining new definitions of information measures. But the steps for …
has increased interest in obtaining new definitions of information measures. But the steps for …
Refined Estimations for Some Types of Entropies and Divergences
I Nikoufar, M Kanani Arpatapeh - Complex Analysis and Operator Theory, 2023 - Springer
In this paper, the improvements in the estimations of some entropies are of our interest.
These improvements can also be done sequentially. We find some new and refined bounds …
These improvements can also be done sequentially. We find some new and refined bounds …
Shannon type inequalities for Kapur's entropy
Mathematics | Free Full-Text | Shannon Type Inequalities for Kapur’s Entropy Next Article in
Journal Some Identities Involving Hermite Kampé de Fériet Polynomials Arising from …
Journal Some Identities Involving Hermite Kampé de Fériet Polynomials Arising from …
Fejér-type inequalities
N Minculete, FC Mitroi - arXiv preprint arXiv:1105.5778, 2011 - arxiv.org
arXiv:1105.5778v3 [math.CA] 15 Dec 2011 Page 1 arXiv:1105.5778v3 [math.CA] 15 Dec 2011
Fejér-type inequalities Nicusor Minculete1∗ and Flavia-Corina Mitroi2† 1 ”Dimitrie Cantemir” …
Fejér-type inequalities Nicusor Minculete1∗ and Flavia-Corina Mitroi2† 1 ”Dimitrie Cantemir” …
Estimates for Tsallis relative operator entropy
HR Moradi, S Furuichi, N Minculete - arXiv preprint arXiv:1705.02188, 2017 - arxiv.org
We give the tight bounds of Tsallis relative operator entropy by using Hermite-Hadamard's
inequality. Some reverse inequalities related to Young inequalities are also given. In …
inequality. Some reverse inequalities related to Young inequalities are also given. In …
Order Properties Concerning Tsallis Residual Entropy
With the help of Tsallis residual entropy, we introduce Tsallis quantile entropy order between
two random variables. We give necessary and sufficient conditions, study closure and …
two random variables. We give necessary and sufficient conditions, study closure and …
[PDF][PDF] New inequalities related to entropy and relative entropy with respect to Hermite-Hadamard inequality
Y Sayyari, H Barsam - Filomat, 2024 - doiserbia.nb.rs
New inequalities related to entropy and relative entropy with respect to Hermite-Hadamard
inequality Page 1 Filomat 38:4 (2024), 1265–1277 https://doi.org/10.2298/FIL2404265S …
inequality Page 1 Filomat 38:4 (2024), 1265–1277 https://doi.org/10.2298/FIL2404265S …
Fractal Divergences of Generalized Jacobi Polynomials
The notion of entropy (including macro state entropy and information entropy) is used,
among others, to define the fractal dimension. Rényi entropy constitutes the basis for the …
among others, to define the fractal dimension. Rényi entropy constitutes the basis for the …
Several refinements and counterparts of Radon's inequality
A Raţiu, N Minculete - Mathematica Bohemica, 2015 - dml.cz
We establish that the inequality of Radon is a particular case of Jensen's inequality. Starting
from several refinements and counterparts of Jensen's inequality by Dragomir and Ionescu …
from several refinements and counterparts of Jensen's inequality by Dragomir and Ionescu …