Affiliation:
1. University of Sa'adah
2. University of Peshawar
3. Croatian Academy of Sciences and Arts
Abstract
This article is dedicated to a refinement of the classical Jensen inequality by virtue of some finite real sequences. Inequalities for various means are obtained from this refinement. Also, from the proposed refinement, the authors acquire some inequalities for Csiszâr $\Psi$- divergence and for Shannon and Zipf-Mandelbrot entropies. The refinement is further generalized through several finite real sequences.
Reference42 articles.
1. [1] S.M. Ali and S.D. Silvey, A general class of coefficients of divergence of one distribution
from another, J. R. Stat. Soc. Ser. B. Stat. Methodol. 28 (1), 131–142, 1966.
2. [2] Q.H. Ansari, C.S. Lalitha, and M. Mehta, Generalized convexity, nonsmooth variational
inequalities, and nonsmooth optimization, Chapman and Hall/CRC, 2019.
3. [3] S.A. Azar, Jensen’s inequality in finance, Int. Adv. Econ. Res. 14, 433–440, 2008.
4. [4] S.I. Bradanović, More accurate majorization inequalities obtained via superquadraticity
and convexity with application to entropies, Mediterr. J. Math. 18, Article ID 79,
2021.
5. [5] H. Budak, S. Khan, M.A. Ali, and Y.-M. Chu, Refinements of quantum Hermite-
Hadamard type inequalities, Open Math. 19, 724–734, 2021.