Schur Convexity of Functional Bonferroni Mean
DOI:
https://doi.org/10.63286/jima.030Keywords:
Bonferroni means, functional Bonferroni means, Schur convexity, majorization, norm inequalitiesAbstract
In this paper, we introduce a functional extension of the classical Bonferroni mean. Using tools from majorization theory together with differential criteria for Schur convexity, we establish sufficient conditions under which the functional Bonferroni mean and the functional generalized Bonferroni harmonic mean are Schur convex, Schur concave, or Schur harmonically convex. As applications, we derive separation inequalities between these two means, obtain several new integral inequalities, and prove norm inequalities for functional Bonferroni means.References
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Copyright (c) 2026 Dong-Sheng Wang, Chun-Ru Fu, Jing Zhang
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
