In this paper we give extensions of Jensen's discrete inequality considering the class of
uniformly convex functions. We also introduce lower and upper bounds for Jensen's …

Shannon's entropy, as metric entropy, is in general difficult to calculate and even to estimate.
Tapus and Popescu (2012) and Sayyari (2020) presented the, upper bound for Shannon's …

Abstract Theory of zeta functions and fractional calculus plays an important role in the
statistical problems and Shannon's entropy. Estimation of Shannon's entropies of …

Shannon's entropy plays an important role in information theory, dynamical systems and
thermodynamics. In this paper we applying Jensen's inequality in information theory and we …

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 …

Jensen-Mercer inequality for uniformly convex functions with some applications | Afrika
Matematika Skip to main content Advertisement Springer Nature Link Account Menu Find a …

Abstract The Jensen, Simic and Mercer inequalities are very important inequalities in theory
of inequalities and some results are devoted to this inequalities. In this paper, firstly, we …

Remarks on uniformly convexity with applications in A − G − H inequality and entropy Page
1 Int. J. Nonlinear Anal. Appl. 13 (2022) 2, 131–139 ISSN: 2008-6822 (electronic) http://dx.doi.org/10.22075/ijnaa.2022.24133.2678 …

In this paper, we present the concept of the logical entropy of order m, logical mutual
information, and the logical entropy for information sources. We found upper and lower …

In this paper, a rigorous formalism of information transfer with respect to relative entropy or
Kullback-Leiber divergence within a multi-dimensional deterministic dynamical system is …