Levinson’s Type Generalization of the Edmundson–Lah–Ribarič Inequality

Abstract

In this paper the authors give a brief historical remark on Edmundson–Madansky and Lah–Ribaric inequalities, which are both special cases of the same inequality, and unify them under the name of Edmundson–Lah–Ribaric inequality. Furthermore, the authors also give a Levinson’s type generalization of the Edmundson–Lah–Ribaric inequality, as well as some refinements of the obtained results by constructing certain exponentially convex functions.