A quadrature rule for the finite Hilbert Transform via trapezoid type inequalities is obtained. Some numerical experiments
for different divisions of the interval [
a, b] are also presented.
AMS Mathematics Subject Classification Primary 26D15 - 26D10 - Secondary 47A99 - 41A55
Key word and phrases Finite Hilbert transform - trapezoid inequality
N. M. Dragomir is a PhD student in the Optical Technology Research Laboratory of the School of Electrical Engineering at Victoria University
in Melbourne. Her interest is in Fibre Optics and Fibre Bragg Gratings.
S. S. Dragomir is a Professor and Chair in Mathematical Inequalities in the School of Computer Science and Mathematics at Victoria University.
He is the Editor in Chief of the electronic journal: “Journal of Inequalities in Pure & Applied Mathematics” located at: http://jipam.vu.edu.au.
P. M. Farrell is a Manager at ALTAMAR Networks in Melbourne, Australia. His interest is in Fibre Optics Technology.
G. W. Baxter is an Associate Professor in the School of Electrical Engineering. He is the Director of Optical Technology Research Laboratory.
His interest is in optical fibre sensors technology.