On some Opial-type inequalities

Abstract

Abstract In the present paper we establish some new Opial-type inequalities involving higher-order partial derivatives. Our results in special cases yield some of the recent results on Opial's inequality and also provide new estimates on inequalities of this type. MR (2000) Subject Classification 26D15

Keywords

• Opial's inequality
• Opial-type integral inequalities
• Hölder's inequality