Refinement of the classical Jensen inequality using finite sequences

Yıl 2024, Erken Görünüm, 1 - 20

Zaid Mohammed Mohammed Mahdi Sayed Muhammad Adil Khan Shahid Khan Josip Pecaric

https://doi.org/10.15672/hujms.1270585

Öz

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 acquired some inequalities for Csisz\^{a}r $\Psi$- divergence and for Shannon and Zipf-Mandelbrot entropies. The refinement is further generalized through several finite real sequences.

Anahtar Kelimeler

Jensen Inequality, Means, Information Theory

Kaynakça

• [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.