Italian journal of pure and applied mathematics – N. 50-2023, pp. 561–576. 

 Improvements of H¨older’s inequality via Schur convexity of functions

Huan-Nan Shi, Shan-He Wu, Dong-Sheng Wang, Bing Liu

Abstract. In this paper, we study the Schur convexity of some functions associated with H¨older’s inequality, the results obtained are then used to establish the refined versions of H¨older’s inequality under certain specified conditions. At the end of the paper, applications to inequalities for special means are given.

Keywords: H¨older inequality, Schur convexity, majorization, special means.

40 Shi-Wu-Wang-Liu.pdf