A variety of dynamic $ \alpha $-conformable Steffensen-type inequality on a time scale measure space

Abstract

<abstract><p>The main objective of this work is to establish several new alpha-conformable of Steffensen-type inequalities on time scales. Our results will be proved by using time scales calculus technique. We get several well-known inequalities due to Steffensen, if we take $ \alpha = 1 $. Some cases we get continuous inequalities when $ \mathbb{T} = \mathbb{R} $ and discrete inequalities when $ \mathbb{T} = \mathbb{Z} $.</p></abstract>