On an upper bound for Jensen's inequality

Journal of Inequalities in Pure and Applied Mathematics

Volumn 10, Issue 2, 2009, Pages 1-5

  Simic, Slavko ^a  

^a MATHEMATICAL INSTITUTE   (Serbia)

Author keywords

Generalized A G inequality; Global bounds; Jensen's discrete inequality

Indexed keywords

EID: 76649106774     PISSN: None     EISSN: 14435756     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. P.R. BEESACK AND J. PEČARIĆ, On Jensen's inequality for convex functions, J. Math. Anal. Appl., 110 (1985), 536-552.
2. I. BUDIMIR, S.S. DRAGOMIR AND J. PEČARIĆ, Further reverse results for Jensen's discrete inequality and applications in information theory, J. Inequal. Pure Appl. Math., 2(1) (2001), Art. 5. [ONLINE: http://jipam.vu.edu.au/article.php?sid=121]
3. S.S. DRAGOMIR, A converse result for Jensen's discrete inequality via Gruss inequality and appli- cations in information theory, Analele Univ. Oradea. Fasc. Math., 7 (1999-2000), 178-189.
4. D.S. MITRINOVIĆ, Analytic Inequalities, Springer, New York, 1970.
5. S. SIMIĆ, Jensen's inequality and new entropy bounds, submitted to Appl. Math. Letters.
6. W. SPECHT, Zur Theorie der elementaren Mittel, Math. Z., 74 (1960), 91-98.
7. M. TOMINAGA, Specht's ratio in the Young inequality, Sci. Math. Japon., 55 (2002), 583-588.