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Article . 2026
License: CC BY
Data sources: Datacite
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АППРОКСИМАТИВНЫЕ СВОЙСТВА АНАЛИТИЧЕСКИХ ФУНКЦИЙ В ВЕСОВЫХ ПРОСТРАНСТВАХ БЕРГМАНА

descriptionPublicationkeyboard_double_arrow_right Article 15 Feb 2026Publisher:Zenodo

doi: 10.5281/zenodo.18866263

АППРОКСИМАТИВНЫЕ СВОЙСТВА АНАЛИТИЧЕСКИХ ФУНКЦИЙ В ВЕСОВЫХ ПРОСТРАНСТВАХ БЕРГМАНА

Abstract

Работа посвящена анализу связи между структурными свойствами аналитических функций и точностью их приближения в весовых пространствах Бергмана. Основным результатам является доказательство неравенств, в которых наилучшее приближение оценивается через усредненные модули непрерывности высших порядков - х производных.

Keywords

аналитическая функция, обобщённое весовое пространство Бергмана, модуль непрерывности, наилучшее приближение, комплексный алгебраический полином, n-поперечники.

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    popularity
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    influence
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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Powered by OpenAIRE graph
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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
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