Some inequalities for double integrals and applications for cubature formula-Reference-Cited by-同舟云学术

Some inequalities for double integrals and applications for cubature formula

Published:2019-12-01 Issue:2 Volume:11 Page:271-295
ISSN:2066-7752
Container-title:Acta Universitatis Sapientiae, Mathematica
language:en
Short-container-title:

Author:

Erden Samet¹,Sarikaya Mehmet Zeki²

Affiliation:

1. Department of Mathematics, Faculty of Science , Bartın University , Bartın- Turkey

2. Department of Mathematics, Faculty of Science and Arts , Düzce University , Konuralp Campus, Düzce - Turkey

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/ausm-2019-0021

Reference24 articles.

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