Uniform approximation of curvature for smooth classes of plane curves


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Abstract

We consider problems of approximating the curvature of plane curves from smooth classes by the curvature of elements of smooth finite-dimensional function spaces (trigonometric polynomials, splines with equidistant knots) in the uniform norm.

About the authors

Yu. N. Subbotin

Krasovskii Institute of Mathematics and Mechanics; Ural Federal University

Author for correspondence.
Email: yunsub@imm.uran.ru
Russian Federation, Yekaterinburg, 620990; Yekaterinburg, 620000

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