Refinement of an Inequality for the Generalized Logarithmic Mean
Huan-nan, Shi (2007) Refinement of an Inequality for the Generalized Logarithmic Mean. Research report collection, 10 (1).
Abstract
In this article, we show that the generalized logarithmic mean is strictly Schur- convex function for p > 2 and strictly Schur-concave function for p < 2 on R₊². And then we give a refinement of an inequality for the generalized logarithmic mean inequality using a simple majoricotion relation of the vector.
Item type | Article |
URI | https://vuir.vu.edu.au/id/eprint/18284 |
Subjects | Historical > FOR Classification > 0101 Pure Mathematics Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA) |
Keywords | inequality, refinement, generalized logarithmic mean, strictly Schur-convex function, strictly Schur-concave function |
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