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Some inequalities for double integrals and applications for cubature formula

Authors :
Erden Samet
Sarikaya Mehmet Zeki
Source :
Acta Universitatis Sapientiae: Mathematica, Vol 11, Iss 2, Pp 271-295 (2019)
Publication Year :
2019
Publisher :
Scientia Publishing House, 2019.

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.

Details

Language :
English
ISSN :
20667752
Volume :
11
Issue :
2
Database :
Directory of Open Access Journals
Journal :
Acta Universitatis Sapientiae: Mathematica
Publication Type :
Academic Journal
Accession number :
edsdoj.15290aa6e51147988a719c0e46c3ccdb
Document Type :
article
Full Text :
https://doi.org/10.2478/ausm-2019-0021