Estimation of f-divergence and Shannon entropy by using Levinson type inequalities for higher order convex functions via Hermite interpolating polynomial

[摘要] Levinson type inequalities are generalized by using Hermite interpolating polynomial for the class of $\mathfrak{n}$-convex functions. In seek of application to information theory, some estimates for new functional are obtained based on f divergence. Inequalities involving Shannon entropies are also discussed.

[学科分类] 电力

[关键词] Information theory;Levinson’s Inequality;Convex functions