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RADO–POPOVICIU不等式的多参数推广

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Journal of Mathematical Inequalities Volume 10, Number 2 (2016), 577–582


MULTI–PARAMETER GENERALIZATION OF RADO–POPOVICIU INEQUALITIES


JING ZHANG AND HUAN-NAN SHI


Abstract. By using methods on the theory of majorization, new generalizations of Rado’s inequality and Popoviciu’s inequality which involves multi-parameter are established.


Mathematics subject classification (2010): Primary 26D15, 26E60, 26B25.


Keywords and phrases: Rado's inequality, Popoviciu's inequality, majorization, Schur-concavity, symmetric function, dual form, convex function.


jmi-10-46.pdf




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