ACS Biomaterials Science and Engineering.
American Chemical Society.
2019.
By using new Green’s functions and Lidstone interpolating polynomial, some new generalizations of Levinson type inequalities for (2 p+ 1) -convex functions are obtained. 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. © 2020, The Author(s).