Dynamic inequalities of Steffensen’s type for diamond-α integrable functions on time scales

Abstract

The current work explores some novel dynamic inequalities of the Steffensen type on time scales by using the diamond-α, which is characterized as a linear mixture of the delta and nabla integrals. The derived inequalities not only offer a generalization of some dynamic inequalities but also extend a few recognized continuous inequalities by establishing new discrete inequalities on time scales.