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From the Hahn–Banach extension theorem to the isotonicity of convex functions and the majorization theory
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas ( IF 1.8 ) Pub Date : 2020-07-20 , DOI: 10.1007/s13398-020-00905-4
Constantin P. Niculescu , Octav Olteanu

The property of isotonicity of a continuous convex function on the positive cone is characterized via subdifferentials. This is used to illustrate a new generalization of the Hardy–Littlewood–Polya inequality of majorization to the case of functions of a vector variable.

中文翻译:

从 Hahn-Banach 扩展定理到凸函数的等渗性和专业化理论

正锥上的连续凸函数的等渗性通过次微分表征。这用于说明 Hardy-Littlewood-Polya 不等式对向量变量函数情况的新推广。
更新日期:2020-07-20
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