Sin‐Ei Takahasi, Yasuji Takahashi, Shizuo Miyajima, Hiroyuki Takagi
Abstract
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We consider a natural correspondence between a family of inequalities and a closed convex set. As an application, we give new types of power mean inequalities and the Hölder-type inequalities.
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We consider a natural correspondence between a family of inequalities and a closed convex set. As an application, we give new types of power mean inequalities and the Hölder-type inequalities.
Key concepts: Mathematics, Inequality, Regular polygon, Type (biology), Set (abstract data type), Convex set, Convex function, Pure mathematics