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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