Superquadracity of functions and rearrangements of sets

Shoshana Abramovich

Superquadracity of functions and rearrangements of sets

Shoshana Abramovich

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we establish upper bounds of ∑_i=1 ⁿ(f(x_i + x_i-1/2) + f (|x_i - x _i-1|/2)), x_n+1 = x₁ when the function f is superquadratic and the set (x) = (x₁,..., x_n) is given except its arrangement.

Original language	English
Article number	46
Journal	Journal of Inequalities in Pure and Applied Mathematics
Volume	8
Issue number	2
State	Published - 2007

Keywords

Convex functions
Jensen's inequality
Superquadratic functions

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Cite this

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AB - In this paper we establish upper bounds of ∑i=1 n(f(xi + xi-1/2) + f (|xi - x i-1|/2)), xn+1 = x1 when the function f is superquadratic and the set (x) = (x1,..., xn) is given except its arrangement.

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Superquadracity of functions and rearrangements of sets

Abstract

Keywords

ASJC Scopus subject areas

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