Schur convexity of the generalized geometric Bonferroni mean and the relevant inequalities

Abstract

Abstract In this paper, we discuss the Schur convexity, Schur geometric convexity and Schur harmonic convexity of the generalized geometric Bonferroni mean. Some inequalities related to the generalized geometric Bonferroni mean are established to illustrate the applications of the obtained results.

Keywords

• geometric Bonferroni mean
• Schur’s condition
• majorization relationship
• inequality