Appl. Math. E-Notes, 23(2023), 528-536

Generalizations of Kantorovich's inequality induced by majorization theory

Huan-Nan Shi, Dong-Sheng Wang and Chun-Ru Fu

Abstract

In this paper, we apply Karamata’s theorem combined with majorization theory to establish a new

inequality for the upper bound of the product of two finite sums of convex functions. As applications,

we derive some new generalizations of Kantorovich's inequality.

Mathematics Subject Classi fications: 26D15, 26A51, 26A45.

Generalizations of Kantorovich's inequality induced by majorization theory(.pdf