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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.
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