Additional Information
| Author(s) | Bărar, Adina, Mocanu, Gabriela Raluca, Raşa, Ioan |
|---|
Bounds for some entropies and special functions
Bărar, Adina, Mocanu, Gabriela, Raluca and Raşa, Ioan
Abstract
carpathian_2018_34_1_09_15_abstractWe consider a family of probability distributions depending on a real parameter and including the binomial, Poisson and negative binomial distributions. The corresponding index of coincidence satisfies a Heun differential equation and is a logarithmically convex function. Combining these facts we get bounds for the index of coincidence, and consequently for Rényi and Tsallis entropies of order 2.
Recently posted
-
An inertial method for solving the split equality fixed point problem with multiple output sets
-
Asymptotic modeling of non-linear viscopiezoelectric Kelvin-Voigt type plates via Trotter theory
-
Properties of isocompact spaces in topological groups
-
Two generalized cyclic projection algorithms for solving a class of the split feasibility problem in real Hilbert spaces
-
Global-fixed-point property of gyrogroup actions
-
On simple normal structure and best proximity points in reflexive Banach space
-
Unified Convergence Analysis of Certain At Least Fifth Order Methods
-
A set packing model for the Partition Coloring Problem
-
Cut-through connections of graphs
-
Positive solutions for multipoint boundary value problem of fractional differential equation with parameter