On new Milne-type inequalities and applications

Abstract

Abstract Inequalities play a major role in pure and applied mathematics. In particular, the inequality plays an important role in the study of Rosseland’s integral for the stellar absorption. In this paper we obtain new Milne-type inequalities, and we apply them to the generalized Riemann–Liouville-type integral operators, which include most of the known Riemann–Liouville integral operators.

Keywords

• Milne-type inequalities
• Fractional derivatives and integrals
• Fractional integral inequalities