Extension of a Function from the Exterior of an Interval to a Positive-Definite Function on the Entire Axis and an Approximation Characteristic of the Class $W_M^{r, β}$
We establish sufficient conditions for the extension of a function defined on $[a, +∞)$, where $a > 0$, to a positive-definite function on the entire axis.
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| Datum: | 2003 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2003
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/3973 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510104797839360 |
|---|---|
| author | Zastavnyi, V. P. Заставный, В. П. Заставный, В. П. |
| author_facet | Zastavnyi, V. P. Заставный, В. П. Заставный, В. П. |
| author_sort | Zastavnyi, V. P. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:17:28Z |
| description | We establish sufficient conditions for the extension of a function defined on $[a, +∞)$, where $a > 0$, to a positive-definite function on the entire axis. |
| first_indexed | 2026-03-24T02:51:42Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-3973 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:51:42Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/34/050aa21a887c97c5c8503ca48f25f134.pdf |
| spelling | umjimathkievua-article-39732020-03-18T20:17:28Z Extension of a Function from the Exterior of an Interval to a Positive-Definite Function on the Entire Axis and an Approximation Characteristic of the Class $W_M^{r, β}$ Продолжение функции с внешности интервала до положительно определенной на всей оси функции и аппроксимационная характеристика класса $W_M^{r, β}$ Zastavnyi, V. P. Заставный, В. П. Заставный, В. П. We establish sufficient conditions for the extension of a function defined on $[a, +∞)$, where $a > 0$, to a positive-definite function on the entire axis. Отримано досійr ні умови, щоб функцію, задану на $[a, +∞)$, де $a > 0$, можна було продовжити на нею нісь до додатньо визначеної функції. Institute of Mathematics, NAS of Ukraine 2003-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3973 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 7 (2003); 983-990 Український математичний журнал; Том 55 № 7 (2003); 983-990 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3973/4658 https://umj.imath.kiev.ua/index.php/umj/article/view/3973/4659 Copyright (c) 2003 Zastavnyi V. P. |
| spellingShingle | Zastavnyi, V. P. Заставный, В. П. Заставный, В. П. Extension of a Function from the Exterior of an Interval to a Positive-Definite Function on the Entire Axis and an Approximation Characteristic of the Class $W_M^{r, β}$ |
| title | Extension of a Function from the Exterior of an Interval to a Positive-Definite Function on the Entire Axis and an Approximation Characteristic of the Class $W_M^{r, β}$ |
| title_alt | Продолжение функции с внешности интервала до положительно
определенной на всей оси функции и аппроксимационная характеристика
класса $W_M^{r, β}$ |
| title_full | Extension of a Function from the Exterior of an Interval to a Positive-Definite Function on the Entire Axis and an Approximation Characteristic of the Class $W_M^{r, β}$ |
| title_fullStr | Extension of a Function from the Exterior of an Interval to a Positive-Definite Function on the Entire Axis and an Approximation Characteristic of the Class $W_M^{r, β}$ |
| title_full_unstemmed | Extension of a Function from the Exterior of an Interval to a Positive-Definite Function on the Entire Axis and an Approximation Characteristic of the Class $W_M^{r, β}$ |
| title_short | Extension of a Function from the Exterior of an Interval to a Positive-Definite Function on the Entire Axis and an Approximation Characteristic of the Class $W_M^{r, β}$ |
| title_sort | extension of a function from the exterior of an interval to a positive-definite function on the entire axis and an approximation characteristic of the class $w_m^{r, β}$ |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3973 |
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