engleski

Improvement of an extension of Holder-type inequality

In this paper an extension of Holder-type inequality given in [C.E.M. Pearce and J. Pecaric, On an extension of Holder's inequality, Bull. Austral. Math. Soc. 51 (1995), 453-458] is improved using log-convexity. Furthermore, new Cauchy-type means are defined and their monotonicity property is proven.

Holder inequality ; Steffensen inequality ; exponential and logarithmic convexity ; Cauchy means

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