Geodesic
Uniform approximation of curvature for smooth classes of plane curves
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 4, pp. 273-276

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We consider problems of approximation of the curvature for certain smooth classes of plane curves by the curvature of elements of smooth finite-dimensional function spaces (trigonometric polynomials, splines with equidistant knots) in the uniform norm.
Keywords: curvature, uniform approximation, classes of smooth functions, trigonometric polynomials, splines with equidistant knots, estimates of approximation error. 
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     author = {Yu. N. Subbotin},
     title = {Uniform approximation of curvature for smooth classes of plane curves},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {273--276},
     publisher = {mathdoc},
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     number = {4},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2015_21_4_a24/}
}
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Yu. N. Subbotin. Uniform approximation of curvature for smooth classes of plane curves. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 4, pp. 273-276. http://geodesic.mathdoc.fr/item/TIMM_2015_21_4_a24/