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

S. Sever Dragomir

doi:10.15446/recolma.v50n1.62178

Veröffentlicht

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

Schlagworte:

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

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Autor/innen

S. Sever Dragomir Victoria University

Abstract (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.

Zitationsvorschlag

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 (Jan. 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 märz. 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), S. 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, Bd. 50, Nr. 1, S. 17–39, Jan. 2016.

MLA

Dragomir, S. S. „A Refinement and a divided difference reverse of Jensen’s inequality with applications“. Revista Colombiana de Matemáticas, Bd. 50, Nr. 1, Januar 2016, S. 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 (Januar 1, 2016): 17–39. Zugegriffen März 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. Januar 2016 [zitiert 10. März 2025];50(1):17-39. Verfügbar unter: https://revistas.unal.edu.co/index.php/recolma/article/view/62178

Bibliografische Angaben herunterladen

CrossRef Cited-by

2

1. Venkatesan Guruswami, Andrii Riazanov, Min Ye. (2022). Arıkan Meets Shannon: Polar Codes With Near-Optimal Convergence to Channel Capacity. IEEE Transactions on Information Theory, 68(5), p.2877. https://doi.org/10.1109/TIT.2022.3146786.

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.