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Some inequalities for double integrals and applications for cubature formula

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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.

eISSN:
2066-7752
Langue:
Anglais
Périodicité:
2 fois par an
Sujets de la revue:
Mathematics, General Mathematics