On the refinements of Jensen Mercer's inequality


  • M. Adil Khan University of Peshawar, India
  • Asif R. Khan University of Karachi, Pakistan
  • J. Pečarić University of Zagreb, Croatia




convex functions, Jensen's Mercer's inequality, \(n\)-exponential convexity
Abstract views: 320


In this paper we give refinements of Jensen-Mercer's inequality and its generalizations and give applications for means. We prove \(n\)-exponential convexity of the functions constructed from these refinements. At the end we discuss some examples.


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How to Cite

Khan, M. A., Khan, A. R., & Pečarić, J. (2012). On the refinements of Jensen Mercer’s inequality. Rev. Anal. Numér. Théor. Approx., 41(1), 62–81. https://doi.org/10.33993/jnaat411-969