FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2002, VOLUME 8, NUMBER 4, PAGES 1047-1058

Optimal recovery of values of smooth functions and their derivatives using inexact information on a segment

D. A. Mikhalin

Abstract

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We consider the problem of recovery of certain function's derivative value at the specified point when the function is smooth, belongs to a specified class and values of this function on a segment are given with an error.

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