A Refinement and a divided difference reverse of Jensen's inequality with applications

S. Sever Dragomir

doi:10.15446/recolma.v50n1.62178

Publié-e

2016-01-01

A Refinement and a divided difference reverse of Jensen's inequality with applications

DOI :

https://doi.org/10.15446/recolma.v50n1.62178

Mots-clés :

Jensen's inequality, Measurable functions, Lebesque integral, Divergence measures, f-Divergence, Hölder inequality (en)

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Auteurs-es

S. Sever Dragomir Victoria University

Résumé (en)

A renement and a new sharp reverse of Jensen's inequality for convex functions in terms of divided diferences is obtained. Applications for means, the Hölder inequality and for f-divergence measures in information theory are also provided.

Comment citer

APA

Dragomir, S. S. (2016). A Refinement and a divided difference reverse of Jensen’s inequality with applications. Revista Colombiana de Matemáticas, 50(1), 17–39. https://doi.org/10.15446/recolma.v50n1.62178

ACM

[1]

Dragomir, S.S. 2016. A Refinement and a divided difference reverse of Jensen’s inequality with applications. Revista Colombiana de Matemáticas. 50, 1 (janv. 2016), 17–39. DOI:https://doi.org/10.15446/recolma.v50n1.62178.

ACS

(1)

Dragomir, S. S. A Refinement and a divided difference reverse of Jensen’s inequality with applications. rev.colomb.mat 2016, 50, 17-39.

ABNT

DRAGOMIR, S. S. A Refinement and a divided difference reverse of Jensen’s inequality with applications. Revista Colombiana de Matemáticas, [S. l.], v. 50, n. 1, p. 17–39, 2016. DOI: 10.15446/recolma.v50n1.62178. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/62178. Acesso em: 10 mars. 2025.

Chicago

Dragomir, S. Sever. 2016. « A Refinement and a divided difference reverse of Jensen’s inequality with applications ». Revista Colombiana De Matemáticas 50 (1):17-39. https://doi.org/10.15446/recolma.v50n1.62178.

Harvard

Dragomir, S. S. (2016) « A Refinement and a divided difference reverse of Jensen’s inequality with applications », Revista Colombiana de Matemáticas, 50(1), p. 17–39. doi: 10.15446/recolma.v50n1.62178.

IEEE

[1]

S. S. Dragomir, « A Refinement and a divided difference reverse of Jensen’s inequality with applications », rev.colomb.mat, vol. 50, nᵒ 1, p. 17–39, janv. 2016.

MLA

Dragomir, S. S. « A Refinement and a divided difference reverse of Jensen’s inequality with applications ». Revista Colombiana de Matemáticas, vol. 50, nᵒ 1, janvier 2016, p. 17-39, doi:10.15446/recolma.v50n1.62178.

Turabian

Dragomir, S. Sever. « A Refinement and a divided difference reverse of Jensen’s inequality with applications ». Revista Colombiana de Matemáticas 50, no. 1 (janvier 1, 2016): 17–39. Consulté le mars 10, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/62178.

Vancouver

1.

Dragomir SS. A Refinement and a divided difference reverse of Jensen’s inequality with applications. rev.colomb.mat [Internet]. 1 janv. 2016 [cité 10 mars 2025];50(1):17-39. Disponible à: https://revistas.unal.edu.co/index.php/recolma/article/view/62178

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2. Silvestru Sever Dragomir. (2018). Modern Discrete Mathematics and Analysis. Springer Optimization and Its Applications. 131, p.117. https://doi.org/10.1007/978-3-319-74325-7_6.