<abstract xmlns="http://www.w3.org/1999/xhtml"><p>We establish two Ostrowski type inequalities for double integrals of second order partial derivable functions which are bounded. Then, we deduce some inequalities of Hermite-Hadamard type for double integrals of functions whose partial derivatives in absolute value are convex on the co-ordinates on rectangle from the plane. Finally, some applications in Numerical Analysis in connection with cubature formula are given.</p></abstract>

We establish two Ostrowski type inequalities for double integrals of second order partial derivable functions which are bounded. Then, we deduce some inequalities of Hermite-Hadamard type for double integrals of functions whose partial derivatives in absolute value are convex on the co-ordinates on rectangle from the plane. Finally, some applications in Numerical Analysis in connection with cubature formula are given.

Some inequalities for double integrals and applications for cubature formula

Department of Mathematics, Faculty of Science

Department of Mathematics, Faculty of Science and Arts

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Some inequalities for double integrals and applications for cubature formula"}

We establish two Ostrowski type inequalities for double integrals of second order partial derivable functions which are bounded. Then, we deduce some...

Some inequalities for double integrals and applications for cubature formula

Published Online: Feb 27, 2020

Page range: 271 - 295

Received: May 22, 2018

DOI: https://doi.org/10.2478/ausm-2019-0021

Keywords
Ostrowski inequality, Hermite-Hadamard inequality, coordinated convex mapping, cubature formula

© 2019 Samet Erden et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Some inequalities for double integrals and applications for cubature formula

Published Online: Feb 27, 2020

Page range: 271 - 295

Received: May 22, 2018

DOI: https://doi.org/10.2478/ausm-2019-0021

KeywordsOstrowski inequality, Hermite-Hadamard inequality, coordinated convex mapping, cubature formula

© 2019 Samet Erden et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Ostrowski inequality, Hermite-Hadamard inequality, coordinated convex mapping, cubature formula