On improvements of the Rozanova's inequality

Abstract

Abstract In the present paper, we establish some new Rozanova's type integral inequalities involving higher-order partial derivatives. The results in special cases yield some of the interrelated results on Rozanova's inequality and provide new estimates on inequalities of this type. MS (2000) Subject Classifiication: 26D15.

Keywords

• Opial's inequality
• Hölder's inequality
• Rozanova's inequality