Stolarsky单参数不等式的推广

Generalization of Stolarsky’s Inequality with One Parameter

用控制不等式方法并结合Gini平均比较定理,建立了联系Lehme平均和Holder平均的双边不等式,从而推广并完善了单参数Stolarsky不等式。

By using the theory of majorization and together with the comparison theorem for Gini means,the double inequalities of the Lehme means related to the Holder means are established,and then Stolarsky’s inequalities with a parameter are generalized and improved.