Open Mathematics (Dec 2023)

Schur-power convexity of integral mean for convex functions on the coordinates

  • Shi Huannan,
  • Zhang Jing

DOI
https://doi.org/10.1515/math-2023-0157
Journal volume & issue
Vol. 21, no. 1
pp. 853 – 856

Abstract

Read online

In this article, we investigate the concepts of monotonicity, Schur-geometric convexity, Schur-harmonic convexity, and Schur-power convexity for the lower and upper limits of the integral mean, focusing on convex functions on coordinate axes. Furthermore, we introduce novel and fascinating inequalities for binary means as a practical application.

Keywords