Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2003; 40(2): 207-224

Printed March 1, 2003

Copyright © The Korean Mathematical Society.

A weighted Ostrowski type inequality for functions with values in Hilbert spaces and applications

S. S. Dragomir

Victoria University of Technology

Abstract

Some weighted Ostrowski type integral inequalities for vector-valued functions in Hilbert spaces are given. Applications for quadrature rules with values in Hilbert spaces are also pointed out.

Keywords: Ostrowski's inequality, vector-valued functions, Bochner's integral.

MSC numbers: Primary 26D25, 26D10; Secondary 41A55, 46B10

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