An extension of trapezoidal type product integration rules

作者：Rzadkowski Grzegorz^*

来源：Journal of Computational and Applied Mathematics, 2009, 232(2): 625-631.

DOI：10.1016/j.cam.2009.07.001

• Numerical integration
• Trapezoidal rule
• Product integration
• Generalized Euler-Maclaurin summation formula
• Bernoulli functions

In the present paper, we use a generalization of the Euler-Maclaurin summation formula for integrals of the form integral(b)(a) F(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.

• 出版日期2009-10-15