Sharpness of estimates for the least uniform derivation from the class of functions with bounded second derivative |
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| Authors: | A. V. Mironenko |
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| Affiliation: | (1) Institute of Mathematics and Mechanics, Ekaterinburg, Russia |
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| Abstract: | We study the uniform approximation of continuous functions on an interval by functions with bounded second derivative. We prove the sharpness of estimates for the least uniform deviation of a function in terms of its local deviations on uniform and nonuniform three-point grids. |
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| Keywords: | uniform approximation functions with bounded derivative |
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