Symmetry (Dec 2021)

Schur-Convexity for Elementary Symmetric Composite Functions and Their Inverse Problems and Applications

  • Tao Zhang,
  • Alatancang Chen,
  • Huannan Shi,
  • B. Saheya,
  • Boyan Xi

DOI
https://doi.org/10.3390/sym13122351
Journal volume & issue
Vol. 13, no. 12
p. 2351

Abstract

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This paper investigates the Schur-convexity, Schur-geometric convexity, and Schur-harmonic convexity for the elementary symmetric composite function and its dual form. The inverse problems are also considered. New inequalities on special means are established by using the theory of majorization.

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