Notes on Inequality Measurement : Hardy, Littlewood and Polya, Schur Convexity and Majorization
نویسنده
چکیده
Winter School on Inequality and Collective Welfare Theory "Risk, Inequality and Social Welfare" January 10-13 2007, Alba di Canazei (Dolomites)
منابع مشابه
Schur Convexity with Respect to a Class of Symmetric Functions and Their Applications
For x = (x1, x2, · · · , xn) ∈ R+, the symmetric function φn(x, r) is defined by φn(x, r) = φn(x1, x2, · · · , xn; r) = ∏ 1≤i1<i2···<ir≤n r ∑ j=1 1 + xij xij , where r = 1, 2, · · · , n, and i1, i2, · · · , in are positive integers. In this article, the Schur convexity, Schur multiplicative convexity and Schur harmonic convexity of φn(x, r) are discussed. As applications, some inequalitie...
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