Extension of Stolarsky means by Euler-Radau expansions

Jakšetić, Julije and Roqia, Gulam and Pečarić, Josip (2014) Extension of Stolarsky means by Euler-Radau expansions. = Extension of Stolarsky means by Euler-Radau expansions. Advances in Inequalities and Applications, 2014. pp. 7-1. ISSN 2050-7461. Vrsta rada: ["eprint_fieldopt_article_type_article" not defined]. . Točan broj autora: 3.

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Official URL: https://bib.irb.hr/prikazi-rad?&rad=692103


We present construction of exponentially convex functions via functionals that follow from some inequalities for convex functions. These inequalities are derived from expansions of Euler and Radau. Using fruitful properties of exponential convexity we construct various means that have nice monotone properties over defining parameters. We further show how known results about Cauchy means can be treated in a succinct way.

Item Type: Article (["eprint_fieldopt_article_type_article" not defined])
Keywords (Croatian): General two-point formulae ; Stolarsky means ; exponential convexity ; Cauchy means.
Subjects: NATURAL SCIENCES > Mathematics
Divisions: 1500 Chair of Mathematics
Date Deposited: 22 Sep 2016 12:50
Last Modified: 23 May 2017 07:05
URI: http://repozitorij.fsb.hr/id/eprint/6942

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