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Resumen: We get estimates for the integrals of powered i-th mean curvatures, 1 = i = n - 1, of compact and convex hypersurfaces, in terms of the quermaßintegrals of the corresponding C 2 + convex bodies. These bounds will be obtained as consequences of a most general result for functions defined on a general probability space. From this result, similar estimates for the integrals of any convex transformation of the elementary symmetric functions of the radii of curvature of C 2 + convex bodies will be also proved, both, in terms of the quermaßintegrals, and of the roots of their Steiner polynomials. Finally, the radial function is considered, and estimates of the corresponding integrals are obtained in terms of the dual quermaßintegrals.
Idioma: Inglés
DOI: 10.4171/RMI/968
Año: 2017
Publicado en: REVISTA MATEMATICA IBEROAMERICANA 33, 4 (2017), 1197-1218
ISSN: 0213-2230
Factor impacto JCR: 1.039 (2017)
Categ. JCR: MATHEMATICS rank: 61 / 309 = 0.197 (2017) - Q1 - T1
Factor impacto SCIMAGO: 1.629 - Mathematics (miscellaneous) (Q1)

Tipo y forma: Artículo (PrePrint)
Área (Departamento): Área Análisis Matemático (Dpto. Matemáticas)

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