On Opial-Wirtinger type inequalities

Abstract

In the present paper we establish some new Opial-Wirtinger’s type inequalities involving Katugampola partial derivatives. These new results in special cases yield Agarwal and Pang’s, Traple’s and Pachpatte’s inequalities and provide new estimates on inequality of this type.

Keywords

• katugampola partial derivatives
• young’s inequality
• opial’s inequality
• wirtinger’s inequality
• hölder’s inequality