多项式选择与多项式分离
Polynomial selections and separation by polynomials
摘要：
给出了定义在实区间上的两个实函数可被多项式分离的充要条件。主要结果的直接结果是高阶凸函数的多项式分离的存在性。另一个应用是一些Hyers-Ulam-稳定型结果。
英文摘要：
Necessary and sufficient conditions under which two real functions defined on the real interval can be separated by a polynomial are given. An immediate consequence of the main result is the existence of the polynomial separation of convex functions of higher order. Another application is some Hyers-Ulam-stability-type result.
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