Further generalizations of the parallelogram law

Oller-Marcen, A.M.

Resumen: In a recent work of Alessandro Fonda, a generalization of the parallelogram law in any dimension N >= 2 was given by considering the ratio of the quadratic mean of the measures of the (N - 1)-dimensional diagonals to the quadratic mean of the measures of the faces of a parallelotope. In this paper, we provide a further generalization considering not only (N - 1)-dimensional diagonals and faces, but the k-dimensional ones for every 1 <= k <= N - 1.

Idioma: Inglés

Año: 2020

Publicado en: CONTRIBUTIONS TO DISCRETE MATHEMATICS 15, 2 (2020), 153-158
ISSN: 1715-0868

Originalmente disponible en: Texto completo de la revista

Factor impacto JCR: 0.743 (2020)

Categ. JCR: MATHEMATICS rank: 226 / 330 = 0.685 (2020) - Q3 - T3

Factor impacto SCIMAGO: 0.229 - Discrete Mathematics and Combinatorics (Q4)

Tipo y forma: Article (Published version)