Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Singer I. — Theory of best approximation and functional analysis
Singer I. — Theory of best approximation and functional analysis

Читать книгу
бесплатно

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Theory of best approximation and functional analysis

Автор: Singer I.

Аннотация:

In this monograph we present some results and problems in the modern theory of best approximation, i.e., in which the methods of functional analysis are applied in a consequent manner. This modern theory constitutes both a unified foundation for the classical theory of best approximation (which treats the problems with the methods of the theory of functions) and a powerful tool for obtaining new results. Within the general framework of normed linear spaces the problem of best approximation amounts to the minimization of a distance, which permits us to use geometric intuition (but rigorous analytic proofs), and the connections of the phenomena become clearer and the arguments simpler than those of the classical theory of best approximation in the various particular concrete function spaces. We hope that this has been proved convincingly enough in the monograph [168] (which was the first of this kind in the literature) and in the lecture notes [175], and will be proved again in the present monograph (see, for example, § 1, the remarks made after Theorem 1.8, or § 3, the remark to Theorem 3.5).


Язык: en

Рубрика: Математика/

Тип: Статья

Статус предметного указателя: Неизвестно

ed2k: ed2k stats

Год издания: 1987

Количество страниц: 104

Добавлена в каталог: 17.10.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2017
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте