Journal of the
Korean Mathematical Society
JKMS

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

Article

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J. Korean Math. Soc. 2001; 38(6): 1261-1273

Printed November 1, 2001

Copyright © The Korean Mathematical Society.

Integral Gr\"{u}ss inequality for mappings with values in Hilbert spaces and applications

S. S. Dragomir

Victoria University of Technology

Abstract

In this paper we prove a version of Gr\"uss’ integral inequality for mappings with values in Hilbert spaces. Some applications for convex functions defined on Hilbert spaces are also given.

Keywords: Gr\"uss inequality, Bochner integral