Approximation in mean on homogeneous compact spaces
Jackson’s type theorem on approximation of square integrable functions is proved for functions defined on homogeneous spaces with a compact transitive transformation group actions. An example is proved which illustrates the theorem. Keywords: Homogeneous space, Compact group, Quotient group, L2 spac...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2017-08-01
|
| Series: | Transactions of A. Razmadze Mathematical Institute |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2346809216300617 |
| id |
doaj-809534f32bfa440aa949b82c67a7a76a |
|---|---|
| record_format |
Article |
| spelling |
doaj-809534f32bfa440aa949b82c67a7a76a2020-11-24T22:13:25ZengElsevierTransactions of A. Razmadze Mathematical Institute2346-80922017-08-011712231237Approximation in mean on homogeneous compact spacesDuglas Ugulava0Muskhelishvili Institute of Computational Mathematics of the Georgian Technical University, GeorgiaJackson’s type theorem on approximation of square integrable functions is proved for functions defined on homogeneous spaces with a compact transitive transformation group actions. An example is proved which illustrates the theorem. Keywords: Homogeneous space, Compact group, Quotient group, L2 space, Fourier serieshttp://www.sciencedirect.com/science/article/pii/S2346809216300617 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Duglas Ugulava |
| spellingShingle |
Duglas Ugulava Approximation in mean on homogeneous compact spaces Transactions of A. Razmadze Mathematical Institute |
| author_facet |
Duglas Ugulava |
| author_sort |
Duglas Ugulava |
| title |
Approximation in mean on homogeneous compact spaces |
| title_short |
Approximation in mean on homogeneous compact spaces |
| title_full |
Approximation in mean on homogeneous compact spaces |
| title_fullStr |
Approximation in mean on homogeneous compact spaces |
| title_full_unstemmed |
Approximation in mean on homogeneous compact spaces |
| title_sort |
approximation in mean on homogeneous compact spaces |
| publisher |
Elsevier |
| series |
Transactions of A. Razmadze Mathematical Institute |
| issn |
2346-8092 |
| publishDate |
2017-08-01 |
| description |
Jackson’s type theorem on approximation of square integrable functions is proved for functions defined on homogeneous spaces with a compact transitive transformation group actions. An example is proved which illustrates the theorem. Keywords: Homogeneous space, Compact group, Quotient group, L2 space, Fourier series |
| url |
http://www.sciencedirect.com/science/article/pii/S2346809216300617 |
| work_keys_str_mv |
AT duglasugulava approximationinmeanonhomogeneouscompactspaces |
| _version_ |
1725801062050299904 |