A Variety of Dynamic Steffensen-Type Inequalities on a General Time Scale

Abstract

This work is motivated by the work of Josip Pečarić in 2013 and 1982 and the work of Srivastava in 2017. By the utilization of the diamond-α dynamic inequalities, which are defined as a linear mixture of the delta and nabla integrals, we present and prove very important generalized results of diamond-α Steffensen-type inequalities on a general time scale. Symmetry plays an essential role in determining the correct methods to solve dynamic inequalities.

Keywords

• Steffensen’s inequality
• dynamic inequality
• diamond-α dynamic integral
• time scale