A QUADRATURE RULE FOR THE FINITE HILBERT TRANSFORM VIA SIMPSON TYPE INEQUALITIES AND APPLICATIONS

作者：Wang, Shunfeng^*; Lu, Na; Gao, Xingyue

来源：Journal of Computational Analysis and Applications, 2017, 22(2): 229-238.

• Finite Hilbert transform
• Simpson type inequualities

In this paper, a quadrature rule on an equidistant partition of the interval [a, b] for the finite Hilbert Transform of different classes of absolutely continuous functions via Simpson type inequalities is given, which may have the better error bounds than those obtained via trapezoid type inequalities. Some numerical experiments for different divisions of the interval [a, b] are also presented.

• 出版日期2017-2
• 单位南京信息工程大学