An extension of trapezoidal type product integration rules

Authors:
Grzegorz Rzadkowski
Affiliations:
Faculty of Mathematics and Natural Sciences, Cardinal Stefan Wyszyński University in Warsaw, Dewajtis 5, 01 - 815 Warsaw, Poland
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

Citing 6
Cited 0

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Abstract

In the present paper, we use a generalization of the Euler-Maclaurin summation formula for integrals of the form @!"a^bF"0(x)g(x)dx where F"0(x) (the weight) is a continuous and positive function and g(x) is twice continuously differentiable function in the interval [a,b]. Numerical examples are given to show the effectiveness of the method.