The affine log-Aleksandrov–Fenchel inequality

Chang-Jian Zhao ^[1]
1. [1] China Jiliang University, China
Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 65, Nº. 1, 2023, págs. 67-77
Idioma: inglés
DOI: 10.33044/revuma.2620
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Resumen
- We establish a new affine log-Aleksandrov–Fenchel inequality for mixed affine quermassintegrals by introducing new concepts of affine and multiple affine measures, and using the newly established Aleksandrov–Fenchel inequality for multiple mixed affine quermassintegrals. Our new inequality yields as special cases the classical Aleksandrov–Fenchel inequality and the Lp -affine log-Aleksandrov–Fenchel inequality. The affine log-Minkowski and log-Aleksandrov–Fenchel inequalities are also derived.