Approximation of $(\bar \psi ,\bar \beta )$ -differentiable periodic functions of many variables
Best-approximation estimates are obtained in the integral and uniform metric on classes of periodic functions of many variables, which are defined by restrictions imposed on the mixed generalized derivative introduced by Stepanets. In this case, theharmonic of trigonometric polynomials, which are us...
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| Date: | 1993 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
1993
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5818 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512040044462080 |
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| author | Zaderei, P. V. Задерей, П. В. Задерей, П. В. |
| author_facet | Zaderei, P. V. Задерей, П. В. Задерей, П. В. |
| author_sort | Zaderei, P. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:18:35Z |
| description | Best-approximation estimates are obtained in the integral and uniform metric on classes of periodic functions of many variables, which are defined by restrictions imposed on the mixed generalized derivative introduced by Stepanets. In this case, theharmonic of trigonometric polynomials, which are used for approximation of the classes of functions under consideration, are taken from the so-called hyperbolic crosses. |
| first_indexed | 2026-03-24T03:22:27Z |
| format | Article |
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| id | umjimathkievua-article-5818 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:22:27Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/70/746dd29eda9e5523eef0bfc815528870.pdf |
| spelling | umjimathkievua-article-58182020-03-19T09:18:35Z Approximation of $(\bar \psi ,\bar \beta )$ -differentiable periodic functions of many variables Приближение $(\bar \psi ,\bar \beta )$-дифференцируемых периодических функций многих переменных Zaderei, P. V. Задерей, П. В. Задерей, П. В. Best-approximation estimates are obtained in the integral and uniform metric on classes of periodic functions of many variables, which are defined by restrictions imposed on the mixed generalized derivative introduced by Stepanets. In this case, theharmonic of trigonometric polynomials, which are used for approximation of the classes of functions under consideration, are taken from the so-called hyperbolic crosses. Одержані оцінки найкращих наближень в інтегральній та рівномірній метриках на класах періодичних функцій багатьох змінних, які визначаються обмеженнями на змішану узагальнену похідну, введену О. І. Степанцем. При цьому гармоніки тригонометричних поліномів, які використовуються для наближення розглядуваних класів функцій, беруться з так званих гіперболічних хрестів. Institute of Mathematics, NAS of Ukraine 1993-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5818 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 3 (1993); 367-377 Український математичний журнал; Том 45 № 3 (1993); 367-377 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5818/8319 https://umj.imath.kiev.ua/index.php/umj/article/view/5818/8320 Copyright (c) 1993 Zaderei P. V. |
| spellingShingle | Zaderei, P. V. Задерей, П. В. Задерей, П. В. Approximation of $(\bar \psi ,\bar \beta )$ -differentiable periodic functions of many variables |
| title | Approximation of $(\bar \psi ,\bar \beta )$ -differentiable periodic functions of many variables |
| title_alt | Приближение $(\bar \psi ,\bar \beta )$-дифференцируемых периодических функций многих переменных |
| title_full | Approximation of $(\bar \psi ,\bar \beta )$ -differentiable periodic functions of many variables |
| title_fullStr | Approximation of $(\bar \psi ,\bar \beta )$ -differentiable periodic functions of many variables |
| title_full_unstemmed | Approximation of $(\bar \psi ,\bar \beta )$ -differentiable periodic functions of many variables |
| title_short | Approximation of $(\bar \psi ,\bar \beta )$ -differentiable periodic functions of many variables |
| title_sort | approximation of $(\bar \psi ,\bar \beta )$ -differentiable periodic functions of many variables |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5818 |
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