The Behavior of the Difference Between Two Means

Shoshana Abramovich ()
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Shoshana Abramovich: University of Haifa

Chapter Chapter 1 in Developments in Functional Equations and Related Topics, 2017, pp 1-15 from Springer

Abstract: Abstract The inequalities derived in this article are related to the two quasi-arithmetic means W p x , λ $$W_{p}\left (x,\lambda \right )$$ and M q x , λ $$M_{q}\left (x,\lambda \right )$$ . Here we extend some results about the difference W p x , λ − M q x , λ $$W_{p}\left (x,\lambda \right ) - M_{q}\left (x,\lambda \right )$$ for several sets of the values p and q.

Keywords: Quasi-arithmetic means; Power means; Convex functions; Jensen’s inequality; Subquadratic functions; Primary 26D15, 47A63, 47A64; Secondary 26A51 (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-61732-9_1

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DOI: 10.1007/978-3-319-61732-9_1

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