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 inequalities of Hermite-Hadamard type for double integrals of functions whose partial derivatives in absolute value are convex on the co-ordinates on...

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Veröffentlicht in:Acta universitatis sapientiae. Mathematica 2019-12, Vol.11 (2), p.271-295
Hauptverfasser: Erden, Samet, Sarikaya, Mehmet Zeki
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2066-7752
2066-7752
DOI:10.2478/ausm-2019-0021