Research article

On Opial-Wirtinger type inequalities

  • Received: 24 October 2019 Accepted: 07 January 2020 Published: 19 January 2020
  • MSC : 26D15

  • 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.

    Citation: Chang-jian Zhao. On Opial-Wirtinger type inequalities[J]. AIMS Mathematics, 2020, 5(2): 1275-1283. doi: 10.3934/math.2020087

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  • 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.


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