推广的(s,m)-GA-凸函数的Simpson型不等式On Simpson type inequalities for functions whose derivatives are extended(s, m)-GA-convex functions
李玉娇,杜廷松
摘要(Abstract):
提出了一个称为推广的(s,m)-GA-凸函数的新概念.在此基础上,针对三阶导函数是推广的(s,m)-GA-凸函数,建立了一些新的Simpson型积分不等式,并应用这些不等式导出了一些特殊均值不等式.
关键词(KeyWords): 凸函数;推广的(s,m)-GA-凸函数;Simpson型不等式
基金项目(Foundation): 国家自然科学基金(61374028);; 湖北省自然科学基金(2013CFA131);; 三峡大学培优基金(2015PY075)
作者(Author): 李玉娇,杜廷松
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