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Национальный агрегатор открытых репозиториев российских университетов (HOPA)
Article . 2017
Data sources: Национальный агрегатор открытых репозиториев российских университетов (HOPA)
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О точности экстремальных произведений Бляшке относительно специальных весов

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2017 Russian

О точности экстремальных произведений Бляшке относительно специальных весов

Abstract

При изучении наилучших рациональных приближений некоторых функций важную роль играют произведения Бляшке. Ниже приведены теоремы 1 и 2 из [1] о существовании специальных произ-ведений для полуплоскости. Эти теоремы в дальнейшем нами будут применяться для изучения наилучших приближений преобразований Коши некоторых мер и, в частности, функций Маркова. Поэтому важное значение имеет вопрос о точности оценок, полученных в этих теоремах. В данной работе показано, что оценки из теорем 1 и 2 являются точными в смысле порядка. Аналогичные вопросы рассмотрены также для круга.

Keywords

произведения Бляшке, рациональная аппроксимация функций

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green