Interpolation of homogeneous and isotropic random field in the center of the sphere by uniform distributed observations
We consider interpolation of homogeneous and isotropic random field in the center of the sphere by uniform distributed observations on the sphere. The asymptotic behavior of the mean-square interpolation error is investigated. The degree of convergence to zero of the meansquare interpolation error i...
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| Date: | 2007 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/4492 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Interpolation of homogeneous and isotropic random field in the center of the sphere by uniform distributed observations / N. Semenovs’ka // Theory of Stochastic Processes. — 2007. — Т. 13 (29), № 1-2. — С. 234-242. — Бібліогр.: 3 назв.— англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862724428616433664 |
|---|---|
| author | Semenovs’ka, N. |
| author_facet | Semenovs’ka, N. |
| citation_txt | Interpolation of homogeneous and isotropic random field in the center of the sphere by uniform distributed observations / N. Semenovs’ka // Theory of Stochastic Processes. — 2007. — Т. 13 (29), № 1-2. — С. 234-242. — Бібліогр.: 3 назв.— англ. |
| collection | DSpace DC |
| description | We consider interpolation of homogeneous and isotropic random field in the center of the sphere by uniform distributed observations on the sphere. The asymptotic behavior of the mean-square interpolation error is investigated. The degree of convergence to zero of the meansquare interpolation error is obtained. Efficient volume of the set of observations is given.
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| first_indexed | 2025-12-07T18:47:14Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-4492 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0321-3900 |
| language | English |
| last_indexed | 2025-12-07T18:47:14Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Semenovs’ka, N. 2009-11-19T10:23:54Z 2009-11-19T10:23:54Z 2007 Interpolation of homogeneous and isotropic random field in the center of the sphere by uniform distributed observations / N. Semenovs’ka // Theory of Stochastic Processes. — 2007. — Т. 13 (29), № 1-2. — С. 234-242. — Бібліогр.: 3 назв.— англ. 0321-3900 https://nasplib.isofts.kiev.ua/handle/123456789/4492 We consider interpolation of homogeneous and isotropic random field in the center of the sphere by uniform distributed observations on the sphere. The asymptotic behavior of the mean-square interpolation error is investigated. The degree of convergence to zero of the meansquare interpolation error is obtained. Efficient volume of the set of observations is given. en Інститут математики НАН України Interpolation of homogeneous and isotropic random field in the center of the sphere by uniform distributed observations Article published earlier |
| spellingShingle | Interpolation of homogeneous and isotropic random field in the center of the sphere by uniform distributed observations Semenovs’ka, N. |
| title | Interpolation of homogeneous and isotropic random field in the center of the sphere by uniform distributed observations |
| title_full | Interpolation of homogeneous and isotropic random field in the center of the sphere by uniform distributed observations |
| title_fullStr | Interpolation of homogeneous and isotropic random field in the center of the sphere by uniform distributed observations |
| title_full_unstemmed | Interpolation of homogeneous and isotropic random field in the center of the sphere by uniform distributed observations |
| title_short | Interpolation of homogeneous and isotropic random field in the center of the sphere by uniform distributed observations |
| title_sort | interpolation of homogeneous and isotropic random field in the center of the sphere by uniform distributed observations |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/4492 |
| work_keys_str_mv | AT semenovskan interpolationofhomogeneousandisotropicrandomfieldinthecenterofthespherebyuniformdistributedobservations |