Generalizations of Cyclic Refinements of Jensen's Inequality by Lidstone's Polynomial with Applications in Information Theory (CROSBI ID 325503)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Mehmood, Nasir ; Butt, Saad Ihsan ; Pečarić, Đilda ; Pečarić, Josip
engleski
Generalizations of Cyclic Refinements of Jensen's Inequality by Lidstone's Polynomial with Applications in Information Theory
Jensen’s inequality plays pivotal role in attaining divergence between probability dis- tributions. Shannon, Relative and Zipf-Mandelbrot entropies have ample applications in many applied sciences, especially in information theory, biology, economics, etc. In the present paper, we have obtained new generalizations of cyclic refinements of Jensen’s inequality using differ- ent new Green functions by employing Lidstone’s polynomial. As an application of our obtained results we have given new entropic bounds. Also, we have established the connections between Shannon and Relative entropy with Zipf-Mandelbrot entropy
2n-convex function ; Lidstone's polynomial ; new Green functions ; divergence functional ; Shannon entropy ; relative entropy ; Zipf-Mandelbrot entropy
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Podaci o izdanju
14 (1)
2020.
249-271
objavljeno
1846-579X
1848-9575
10.7153/jmi-2020-14-17
Povezanost rada
Informacijske i komunikacijske znanosti, Matematika