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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive
Trudy Inst. Mat. i Mekh. UrO RAN, 2016 Volume 22, Number 4, Pages 254–256 (Mi timm1371)
Uniform approximation of curvature of smooth planar curves

Yu. N. Subbotina, S. A. Telyakovskiib

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Abstract: We estimate the error of curvature approximation for graphs of functions from the class $W^r$ for $r \geqslant 3$ in the uniform metric.

Keywords: curvature approximation, planar curves.

UDC: 517.518.834

MSC: 42A10

DOI: 10.21538/0134-4889-2016-22-4-254-256


 English version: Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2018, 300, suppl. 1, S184–S186

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© Steklov Math. Inst. of RAS, 2025