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On the refinement of Jensen’s inequality

Author

Listed:
  • Adil Khan, M.
  • Ali Khan, G.
  • Ali, T.
  • Kilicman, A.

Abstract

The main purpose of this work is to present the extension of the recent results given by Dragomir [S.S. Dragomir, A new refinement of Jensen’s inequality in linear spaces with applications, Math. Comput. Model. 52 (2010) 1497–1505], where new refinement of Jensen’s inequality is presented and given applications in the information theory. Our work improves the basic result of Dragomir through a stronger refinement of Jensen’s inequality which is then applied to the Information Theory and obtained stronger lower bounds for the mean f-deviation and f-divergences.

Suggested Citation

  • Adil Khan, M. & Ali Khan, G. & Ali, T. & Kilicman, A., 2015. "On the refinement of Jensen’s inequality," Applied Mathematics and Computation, Elsevier, vol. 262(C), pages 128-135.
    • Handle: RePEc:eee:apmaco:v:262:y:2015:i:c:p:128-135
    DOI: 10.1016/j.amc.2015.04.012
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