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Inequalities for Partial Derivatives and their Applications

  Published:2015-04-30
 Printed: Sep 2015
  • Dinh Thanh Duc,
    Department of Mathematics, Quy Nhon University, Binh Dinh, Vietnam
  • Nguyen Du Vi Nhan,
    Department of Mathematics, Quy Nhon University, Binh Dinh, Vietnam
  • Nguyen Tong Xuan,
    Department of Mathematics, Quy Nhon University, Binh Dinh, Vietnam
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Abstract

We present various weighted integral inequalities for partial derivatives acting on products and compositions of functions which are applied to establish some new Opial-type inequalities involving functions of several independent variables. We also demonstrate the usefulness of our results in the field of partial differential equations.
Keywords: inequality for integral, Opial-type inequality, Hölder's inequality, partial differential operator, partial differential equation inequality for integral, Opial-type inequality, Hölder's inequality, partial differential operator, partial differential equation
MSC Classifications: 26D10, 35A23 show english descriptions Inequalities involving derivatives and differential and integral operators
Inequalities involving derivatives and differential and integral operators, inequalities for integrals
26D10 - Inequalities involving derivatives and differential and integral operators
35A23 - Inequalities involving derivatives and differential and integral operators, inequalities for integrals
 

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