Majorization and relative concavity |
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Authors: | Marek Niezgoda |
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Institution: | Department of Applied Mathematics and Computer Science University of Life Sciences in Lublin Akademicka 13, 20-950 Lublin, Poland |
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Abstract: | In this paper, some results established in H.-N. Shi, Refinement and generalization of a class of inequalities for symmetric functions, Math. Practice Theory 29 (4) (1999) pp. 81-84] are extended from the classical majorization preordering to group-induced cone orderings. To this end the notion of relative concavity introduced in C.P. Niculescu, F. Popovici, The extension of majorization inequalities within the framework of relative convexity, J. Inequal. Pure Appl. Math. 7 (1) (2005) (Article 27)] is used. In addition, some Ky Fan’s inequalities are discussed. |
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Keywords: | 06F20 15A30 15A18 26B25 26D15 |
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