Some new dynamic Steffensen-type inequalities on a general time scale measure space

Abstract

Our work is based on the multiple inequalities illustrated by Josip Pečarić in 2013, 1982 and Srivastava in 2017. With the help of a positive σ-finite measure, we generalize a number of those inequalities to a general time scale measure space. Besides that, in order to obtain some new inequalities as special cases, we also extend our inequalities to discrete and continuous calculus.

Keywords

• steffensen's inequality
• dynamic inequality
• dynamic integral
• time scale