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DISCREPANCY OF A CONVEX SET WITH ZERO CURVATURE AT ONE POINT
Author(s) -
Gariboldi Bianca
Publication year - 2020
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/mtk.12023
Subject(s) - mathematics , convex body , gaussian curvature , regular polygon , curvature , combinatorics , convex set , norm (philosophy) , zero (linguistics) , point (geometry) , convex hull , mathematical analysis , geometry , convex optimization , linguistics , philosophy , political science , law
Let Ω be a convex body in R d and assume that ∂ Ω is smooth with everywhere positive Gaussian curvature except for one flat point of order γ ⩾ 2 . We consider the L p norm of the discrepancy with respect to translations and rotations of a dilated copy of the set Ω.