%0 Journal Article
%T Estimation of f-divergence and Shannon entropy by Levinson type inequalities for higher order convex functions via Taylor polynomial
%A Adeel, Muhammad
%A Khan, Khuram Ali
%A Pečarić, Ðilda
%A Pečarić, Josip
%J Journal of Mathematics and Computer Science
%D 2020
%V 21
%N 4
%@ ISSN 2008-949X
%F Adeel2020
%X In this paper, Levinson-type inequalities are generalized by using Taylor polynomial for the class of \(k\)-convex \((k \geq 3)\) functions. Bounds for the remainders in new generalized identities involving data points of two types are given by using Čebyšev, Grúss and Ostrowski-type inequalities. In seek of applications of our results to information theory, new generalizations based on \(f\)-divergence estimates are also proven. Moreover, some inequalities for Shannon entropies are deduced as well.
%9 journal article
%R 10.22436/jmcs.021.04.05
%U http://dx.doi.org/10.22436/jmcs.021.04.05
%P 322--334