Volume 1, Issue
2, 2000
Article 12
http://jipam.vu.edu.au/v1n2/002_00.html
A GRÜSS TYPE INEQUALITY FOR SEQUENCES OF
VECTORS IN INNER PRODUCT SPACES AND APPLICATIONS
S.S. DRAGOMIR
E-Mail: sever.dragomir@vu.edu.au
SCHOOL OF COMMUNICATIONS AND INFORMATICS
VICTORIA UNIVERSITY OF TECHNOLOGY
PO BOX 14428
MELBOURNE CITY MC
VICTORIA 8001, AUSTRALIA.
Received 5 February, 2000; accepted 29 February
2000.
Communicated by: B. Mond
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ABSTRACT.
A Grüss type inequality for sequences of vectors in inner product spaces which complement a recent result from
[6] and applications for differentiable convex functions defined on inner product spaces and applications for Fourier and Mellin transforms, are given.
[6] S.S. Dragomir, A Grüss type discrete inequality in inner product spaces and applications,
J. Math. Anal. Appl. (in press).
Key words: Grüss'
Inequality, inner product
spaces.
2000 Mathematics Subject
Classification: 26D15,
26D99, 46Cxx.
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