ESTIMATION OF f-DIVERGENCE AND SHANNON ENTROPY BY LEVINSON TYPE INEQUALITIES VIA LIDSTONE INTERPOLATING POLYNOMIAL

Using Lidstone interpolating polynomial, some new generalizations of Levinson-type inequalities for 2p-convex functions are obtained. In seek of applications to information theory, based on f-divergence, the estimates for new generalizations are also given. Moreover, inequalities for Shannon entropies are deduced.