Some inequalities for double integrals and applications for cubature formula

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.

Keywords

• ostrowski inequality
• hermite-hadamard inequality
• coordinated convex mapping
• cubature formula
• 26d07
• 26d15
• 41a55