This article provides a completion to theories of information based on entropy, resolving a
longstanding question in its axiomatization as proposed by Shannon and pursued by …

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Two estimators for estimating the extropy of an absolutely continuous random variable with
known support were introduced by using spacing. It is shown that the proposed estimators …

Recently, an alternative measure of uncertainty called extropy is proposed by Lad et al.[12].
The extropy is a dual of entropy which has been considered by researchers. In this article …

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 …

We consider the solution of one dimensional Schrödinger Dunkl equation for energies and
eigenfunctions. Then we provide analytical expressions for various information theoretic …

In this paper we recall, extend and compute some information measures for the
concomitants of the generalized order statistics (GOS) from the Farlie–Gumbel–Morgenstern …

We introduce a novel generalization of entropy and conditional entropy from which most
definitions from the literature can be derived as particular cases. Within this general …

In this paper, Rényi type f-divergences like Jensen–Rényi and Jeffreys–Rényi are studied
for convex functions. Some comparison theorems for two divergences are provided. The …

Refining and reversing weighted arithmetic-geometric mean inequalities have been studied
in many papers. In this paper, we provide some bounds for the differences between the …