Approximating the finite Hilbert transform via a companion of Ostrowski's inequality for function of bounded variation and applications

作者：Liu, Wenjun^*; Gao, Xingyue

来源：Applied Mathematics and Computation, 2014, 247: 373-385.

DOI：10.1016/j.amc.2014.08.099

• A companion of Ostrowski's inequality
• Finite Hilbert transform
• Function of bounded variation
• Numerical experiments

The finite Hilbert transform plays an important role in scientific and engineering computing. By using a companion of Ostrowski's inequality for function of bounded variation, we give some new approximations of the finite Hilbert transform, which may have the better error bounds than the known results obtained via Ostrowski type inequality. Some numerical experiments are also presented.

• 出版日期2014-11-15
• 单位南京信息工程大学