Approximating the Finite Hilbert Transform via an Ostrowski Type Inequality for Functions of Bounded Variation

Volume 3, Issue 4, 2002

Article 51

APPROXIMATING THE FINITE HILBERT TRANSFORM VIA AN OSTROWSKI TYPE INEQUALITY FOR FUNCTIONS OF BOUNDED VARIATION

SCHOOL OF COMMUNICATIONS AND INFORMATICS
VICTORIA UNIVERSITY OF TECHNOLOGY
PO BOX 14428
MELBOURNE CITY MC
VICTORIA 8001, AUSTRALIA.
E-Mail: sever@matilda.vu.edu.au

Received 5 April, 2002; Accepted 20 May, 2002.
Communicated by: B. Mond

ABSTRACT. Using the Ostrowski type inequality for functions of bounded variation, an approximation of the finite Hilbert Transform is given. Some numerical experiments are also provided.

Key words:
Finite Hilbert Transform, Ostrowski's Inequality.

2000 Mathematics Subject Classification:
Primary 26D10, 26D15; Secondary 41A55, 47A99.

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