engleski

Further refinement of results about mixed symmetric means and Cauchy means

Recently, Horvath introduced a new method to re ne the well known discrete Jensen's inequality (see [2]). He also gave a parameter dependant re nement of the discrete Jensen's inequality (see [3]). We apply the new exponential convexity method as illustrated in [7], to the functionals obtained from the re nement results of [2] and [3]. In this way we are able to generalize the results given in [4] as well as given in [1].

convex function; mixed symmetric means; exponentially convex function; Cauchy means

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