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ABSTRACT 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… Click to show full abstract
ABSTRACT 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 .
Keywords:
plane curves;
plane
Journal Title: Applicable Analysis
Year Published: 2019
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Journal Title: Applicable Analysis
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!