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Longinetti, M.; Manselli, P.; Venturi, A.
Applicable analysis, 1/25/2021, Letnik: 100, Številka: 2Journal Article
Let be the class of plane, oriented, rectifiable curves γ, such that, for almost every , the part of γ preceding x is outside the open disk of radius R, centered in , where is the unit tangent vector at x. In Longinetti et al. Plane R-curves and their steepest descent properties I. Appl Anal. DOI: 10.1080/00036811.2018.1466278 , the present authors have obtained bounds for the length and the detour for regular curves in . These bounds are proved here for all curves in .
