Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2002; 39(4): 543-559

Printed December 1, 2002

Copyright © The Korean Mathematical Society.

Approximating the finite Hilbert transform via Ostrowski type inequalities for absolutely continuous functions

S. S. Dragomir

Victoria University of Technology

Abstract

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Some inequalities and approximations for the finite Hilbert transform by the use of Ostrowski type inequalities for absolutely continuous functions are given.

Keywords: Hilbert transform, Cauchy principal value integrals, Ostrowski inequality

MSC numbers: Primary 26D15; Secondary 26D20

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