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Further improvement of an extension of Hölder-type inequality (CROSBI ID 272110)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Jakšetić, Julije ; Pečarić, Josip ; Smoljak Kalamir, Ksenija
Further improvement of an extension of Hölder-type inequality // Mathematical inequalities & applications, 22 (2019), 4; 1161-1175
Podaci o odgovornosti
Jakšetić, Julije ; Pečarić, Josip ; Smoljak Kalamir, Ksenija
engleski
Further improvement of an extension of Hölder-type inequality
In 1995 Pearce and Pečarić proved an extension of Hölder’s inequality. In this paper we extend their result in a measure theoretic sense and further improve it using log-convexity of related linear functionals. Moreover, we study the action of related linear functionals on families of exponentially convex functions.
Hölder’s inequality ; Steffensen’s inequality ; measure theory ; exponential convexity ; log-convexity
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