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Zbl 1225.26041
Franjić, Iva; Khalid, Sadia; Pečarić, Josip
Refinements of the lower bounds of the Jensen functional.
(English)
[J] Abstr. Appl. Anal. 2011, Article ID 924319, 13 p. (2011). ISSN 1085-3375; ISSN 1687-0409/e

Summary: The lower bounds of the functional defined as the difference of the right-hand and the left-hand side of the Jensen inequality are studied. Refinements of some previously known results are given by applying results from the theory of majorization. Furthermore, some interesting special cases are considered.
MSC 2000:
*26D15 Inequalities for sums, series and integrals of real functions
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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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