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  • 1 Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovića 28a, 10000 Zagreb, Croatia
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Abstract  

In this paper an extension of a Hölder-type inequality given in [C. E. M. Pearce and J. Pečarić, On an extension of Hölder’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.