On a problem of optimal recovery and Kolmogorov type inequalities on an interval

We consider an optimal recovery problem for the k-th derivative of the function on an interval from the information on the function itself, given in the mean square metric. As a consequence of the solution we prove one Kolmogorov type inequality for derivatives on an interval and demonstrate that the constant in this inequality can be reduced by considering particular subsets of the function class. © 2014 Published by Elsevier Inc.

Авторы
Редакторы
-
Издательство
-
Номер выпуска
-
Язык
Английский
Страницы
160-169
Статус
Опубликовано
Подразделение
-
Номер
-
Том
189
Год
2015
Организации
  • 1 Peoples' Friendship University of Russia, Ordzhonikidze 3, Moscow, 117198, Russian Federation
Ключевые слова
Exact constant; Inequality for derivatives; Optimal recovery
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/4601/