Some new estimates of the ‘Jensen gap’-Reference-Cited by-同舟云学术

Some new estimates of the ‘Jensen gap’

Published:2016-02-01 Issue:1 Volume:2016 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Abramovich Shoshana,Persson Lars-Erik

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Link

http://link.springer.com/content/pdf/10.1186/s13660-016-0985-4.pdf

Reference11 articles.

1. Jensen, JLWV: Om konvexe Funktioner og Uligeder mellem Middelvaerdier. Nyt Tidsskr. Math. 16B, 49-69 (1905) (in Danish)

2. Jensen, JLWV: Sur les fonctions convexes et les inegalités entre les moyennes. Acta Math. 30, 175-193 (1906) (in French)

3. Persson, L-E, Samko, N: Inequalities and Convexity, Operator Theory: Advances and Applications, vol. 242, 29 pp. Birkhäuser, Basel (2014)

4. Abramovich, S, Jameson, G, Sinnamon, G: Refining of Jensen’s inequality. Bull. Math. Soc. Sci. Math. Roum. 47, 3-14 (2004)

5. Abramovich, S, Persson, L-E: Some new scales of refined Hardy type inequalities via functions related to superquadracity. Math. Inequal. Appl. 16, 679-695 (2013)

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