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Inequalities for Partial Derivatives and their Applications

Published online by Cambridge University Press:  20 November 2018

Dinh Thanh Duc ,
Nguyen Du Vi Nhan  and
Nguyen Tong Xuan
Dinh Thanh Duc
Affiliation:
Department of Mathematics, Quy Nhon University, Binh Dinh, Vietnam e-mail: dinhthanhduc@qnu.edu.vnndvynhan@gmail.comtongxuan494@hotmail.com
Nguyen Du Vi Nhan
Affiliation:
Department of Mathematics, Quy Nhon University, Binh Dinh, Vietnam e-mail: dinhthanhduc@qnu.edu.vnndvynhan@gmail.comtongxuan494@hotmail.com
Nguyen Tong Xuan
Affiliation:
Department of Mathematics, Quy Nhon University, Binh Dinh, Vietnam e-mail: dinhthanhduc@qnu.edu.vnndvynhan@gmail.comtongxuan494@hotmail.com
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Abstract

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We present various weighted integral inequalities for partial derivatives acting on products and compositions of functions that are applied in order 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

26D1035A23inequality for integralOpial-type inequalityHölder’s inequalitypartial differential operatorpartial differential equation
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 58 , Issue 3 , 01 September 2015 , pp. 486 - 496
Copyright
Copyright © Canadian Mathematical Society 2015

References

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