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Improvement of an extension of Holder-type inequality (CROSBI ID 182831)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Pečarić, Josip ; Smoljak, Ksenija
Improvement of an extension of Holder-type inequality // Analysis Mathematica, 38 (2012), 2; 135-146
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Pečarić, Josip ; Smoljak, Ksenija
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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