ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. LXXI, 2(2002)
p. 189

Some double integral inequalities and applications
N. Ujevic


Abstract.  Some double integral inequalities are established. These inequalities give upper and lower error bounds for the well-known mid-point and trapezoid quadrature rules. Some inequalities for convex and concave functions are derived. Applications in numerical integration are also given.

AMS subject classification:  26D10, 41A55, 65D30
Keywords:  Mid-point inequality, trapezoid inequality, upper and lower error bounds, numerical integration

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