RUS  ENG
Full version
JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2007 Volume 48, Number 6, Pages 1285–1294 (Mi smj1807)

This article is cited in 2 papers

Sharpness of estimates for the least uniform derivation from the class of functions with bounded second derivative

A. V. Mironenko

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences

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.

Keywords: uniform approximation, functions with bounded derivative.

UDC: 517.518.843

Received: 06.04.2006
Revised: 16.06.2006


 English version:
Siberian Mathematical Journal, 2007, 48:6, 1029–1037

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025