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给出了调和p方凸函数与调和p次幂s-凸函数的定义以及判定方法,建立了调和p方凸函数与调和p次幂s-凸函数的Jensen不等式.“,”In the report,the harmonic power p-convex functions and the harmonic p-th power s-convex functions were proposed,and the Jensen inequalities for the harmonic power p-convex functions and the harmonic p-th power s-convex functions were established.