Some Steffensen-type dynamic inequalities on time scales

Abstract

Abstract We consider some new Steffensen-type dynamic inequalities on an arbitrary time scale by utilizing the diamond-α dynamic integrals, which are characterized as a combination of the delta and nabla integrals. These inequalities expand some known dynamic inequalities on time scales, bind together and broaden some integral inequalities and their discrete analogs.

Keywords

• Steffensen’s inequality
• Dynamic inequality
• Diamond-α dynamic integral
• Time scale