Sub-super-stabilizability of certain bivariate means via mean-convexity

Abstract

Abstract In this paper, we first show that the first Seiffert mean P is concave whereas the second Seiffert mean T and the Neuman-Sándor mean NS are convex. As applications, we establish the sub-stabilizability/super-stabilizability of certain bivariate means. Open problems are derived as well.

Keywords

• bivariate mean
• convexity of mean
• sub-stabilizable mean
• super-stabilizable mean
• mean-inequalities