New Bounds for the Jensen-Dragomir Functional with Applications in Analysis

Author:

Sayyari Yamin,Dehghanian Mehdi,Barsam Hasan

Abstract

The normalised Jensen functional is an important functional in theory of inequalities and it has been a subject of study in its own right. In this paper, we establish new bounds for Jensen’s discrete inequality. Also, we improve the basic result of Dragomir through a stronger refinement of Jensens inequality which is then applied to analysis and information theory.

Publisher

Informatics Publishing Limited

Subject

General Mathematics

Reference17 articles.

1. I. Budimir, S. S. Dragomir, J. Pecaric, Further reverse results for Jensen’s discrete inequality and applications in information theory, J. Inequal. Pure Appl. Math. 2 (1) (2001) Art. 5.

2. S. S. Dragomir, Bounds for the Normalised Jensen Functional, Bull. Austral. Math. Soc., 74 (2006), 471–478.

3. S. S. Dragomir, A converse result for Jensen’s discrete inequality via Grss inequality and applications in information theory, An. Univ. Oradea. Fasc. Mat. 7 (1999-2000), 178–189.

4. S. S. Dragomir, C. J. Goh, Some bounds on entropy measures in Information Theory, Appl. Math. Lett. 10 (3) (1997), 23–28.

5. JLWV Jensen, Om konvekse Funktioner og Uligheder mellem Middelvrdier, Nyt Tidsskr Math B, 16 (1905), 49–68 (in Danish).

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