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Mohamed Amine Ighachane, Mohammed Bouchangour, Mohammad W. Alomari, Some generalizations of reverse power inequalities for log-concave functions

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DOI: 10.23952/asvao.7.2025.3.02
Volume 7, Issue 3, 1 December 2025, Pages 291-311

 

Abstract. The main goal of this article is to develop a general method to improve some new power inequalities for log-concave functions, which extends and unifies some recent results. As a consequence, we prove a generalized multiple term reverses refinements of the difference between the arithmetic and power means inequality for scalars and operators.

 

How to Cite this Article:
M.A. Ighachane, M. Bouchangour, M.W. Alomari, Some generalizations of reverse power inequalities for log-concave functions, Appl. Set-Valued Anal. Optim. 7 (2025), 291-311.