Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2005; 20(3): 487-503

Printed September 1, 2005

Copyright © The Korean Mathematical Society.

Some Companions of Gruss Inequality in $2$-Inner Product Spaces and Applications for Determinantal Integral Inequalities

R.W. Freese, S.S. Dragomir, Y.J. Cho, S.S. Kim

Saint Louis University, Victoria University, Gyeongsang National University, Dongeui University

Abstract

Some companions of Gr\"{u}ss inequality in 2-inner product spaces and applications for determinantal integral inequalities are given.

Keywords: Gruss inequality, 2-inner products, integral inequality, determinantal inequalities

MSC numbers: Primary 46C05, 46C99; Secondary 26D15, 26D10