New bounds for the Jensen-Dragomir functional with applications in analysis. (English) Zbl 1538.26037
Summary: 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.
MSC:
| 26B25 | Convexity of real functions of several variables, generalizations |
| 26D15 | Inequalities for sums, series and integrals |
| 94A17 | Measures of information, entropy |
References:
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