Further improvement of an extension of Hölder-type inequality

Autor:	Josip Pečarić, Julije Jakšetić, Ksenija Smoljak Kalamir
Rok vydání:	2019
Předmět:	Applied Mathematics General Mathematics Extension (predicate logic) Type inequality Hölder’s inequality Steffensen’s inequality measure theory exponential convexity log-convexity Mathematical economics Mathematics
Zdroj:	Mathematical Inequalities & Applications. :1161-1175
ISSN:	1331-4343
DOI:	10.7153/mia-2019-22-80
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::338f40ba7dcd2f0a2d9a06ea52d748f3 https://doi.org/10.7153/mia-2019-22-80 Zobrazit plný text záznamu