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

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 inequalit...

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Hlavní autoři: Shi Huannan, Zhang Jing
Médium: Článek
Jazyk:English
Vydáno: De Gruyter 2023-12-01
Edice:Open Mathematics
Témata:
On-line přístup:https://doi.org/10.1515/math-2023-0157
Popis
Shrnutí: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.
ISSN:2391-5455