Volume 2,
Issue 1, 2001
Article
5
FURTHER REVERSE RESULTS FOR JENSEN'S DISCRETE
INEQUALITY AND APPLICATIONS IN INFORMATION THEORY
I.
BUDIMIR, S.S. DRAGOMIR AND
J.E. PECARIC
DEPARTMENT
OF MATHEMATICS
FACULTY OF TEXTILE TECHNOLOGY
UNIVERSITY OF ZAGREB
CROATIA.
E-Mail: ivanb@zagreb.tekstil.hr
SCHOOL OF COMMUNICATIONS AND INFORMATICS
VICTORIA UNIVERSITY OF TECHNOLOGY
PO BOX 14428
MELBOURNE CITY MC
VICTORIA 8001, AUSTRALIA.
E-Mail: sever.dragomir@vu.edu.au
DEPARTMENT
OF MATHEMATICS
FACULTY OF TEXTILE TECHNOLOGY
UNIVERSITY OF ZAGREB
CROATIA.
E-Mail: pecaric@mahazu.hazu.hr
Received 12 April, 2000; accepted 06 October 2000.
Communicated by: L.-E.
Persson
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ABSTRACT.
Some new inequalities which counterpart Jensen's discrete inequality and
improve the recent results from [20] and [22] are given. A related result for generalized means is established. Applications in
Information Theory are also provided.
[20] S.S. DRAGOMIR, A converse result for Jensen's discrete
inequality via Grüss' inequality and applications in information theory
[22] S.S. DRAGOMIR, A converse of the Jensen inequality for convex
mappings of several variables and applications
Key words:
Convex functions, Jensen's
Inequality, Entropy
Mappings.
2000 Mathematics Subject
Classification:
26D15,
94Xxx.
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Other issues
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Volume 1, Issue 1, 2000
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Volume 1, Issue
2, 2000
-
Volume 2, Issue
1, 2001
-
Volume 2, Issue
2, 2001
-
Volume 2, Issue
3, 2001
-
Volume 3, Issue
1, 2002
-
Volume 3, Issue
2, 2002
-
Volume 3, Issue
3, 2002
-
Volume 3, Issue
4, 2002
-
Volume 3, Issue
5, 2002
-
Volume 4, Issue
1, 2003
-
Volume 4, Issue
2, 2003
-
Volume 4, Issue
3, 2003
-
Volume 4, Issue
4, 2003
-
Volume 4, Issue
5, 2003
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