Approximation of Periodic Analytic Functions by Interpolation Trigonometric Polynomials in the Metric of the Space $L$
We obtain asymptotic equalities for the upper bounds of approximations by interpolation trigonometric polynomials in the metric of the space L on classes of convolutions of periodic functions admitting a regular extension into a fixed strip of the complex plane.
Saved in:
| Date: | 2002 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2002
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4108 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510239926779904 |
|---|---|
| author | Serdyuk, A. S. Сердюк, А. С. |
| author_facet | Serdyuk, A. S. Сердюк, А. С. |
| author_sort | Serdyuk, A. S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:22:32Z |
| description | We obtain asymptotic equalities for the upper bounds of approximations by interpolation trigonometric polynomials in the metric of the space L on classes of convolutions of periodic functions admitting a regular extension into a fixed strip of the complex plane. |
| first_indexed | 2026-03-24T02:53:51Z |
| format | Article |
| fulltext |
0116
0117
0118
0119
0120
0121
0122
0123
|
| id | umjimathkievua-article-4108 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:53:51Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/e6/cb7725724921156ddcf5f2bcf9f198e6.pdf |
| spelling | umjimathkievua-article-41082020-03-18T20:22:32Z Approximation of Periodic Analytic Functions by Interpolation Trigonometric Polynomials in the Metric of the Space $L$ Наближення періодичних аналітичних функцій інтерполяційними тригонометричними поліномами у метриці простору $L$ Serdyuk, A. S. Сердюк, А. С. We obtain asymptotic equalities for the upper bounds of approximations by interpolation trigonometric polynomials in the metric of the space L on classes of convolutions of periodic functions admitting a regular extension into a fixed strip of the complex plane. Встановлено асимптотичні рівності для верхніх меж наближень інтерполяційними тригонометричними поліномами у метриці простору $L$ на класах згорток періодичних функцій, що допускають регулярне продовження у фіксовану смугу комплексної площини. Institute of Mathematics, NAS of Ukraine 2002-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4108 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 5 (2002); 692-699 Український математичний журнал; Том 54 № 5 (2002); 692-699 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4108/4925 https://umj.imath.kiev.ua/index.php/umj/article/view/4108/4926 Copyright (c) 2002 Serdyuk A. S. |
| spellingShingle | Serdyuk, A. S. Сердюк, А. С. Approximation of Periodic Analytic Functions by Interpolation Trigonometric Polynomials in the Metric of the Space $L$ |
| title | Approximation of Periodic Analytic Functions by Interpolation Trigonometric Polynomials in the Metric of the Space $L$ |
| title_alt | Наближення періодичних аналітичних функцій інтерполяційними тригонометричними поліномами у метриці простору $L$ |
| title_full | Approximation of Periodic Analytic Functions by Interpolation Trigonometric Polynomials in the Metric of the Space $L$ |
| title_fullStr | Approximation of Periodic Analytic Functions by Interpolation Trigonometric Polynomials in the Metric of the Space $L$ |
| title_full_unstemmed | Approximation of Periodic Analytic Functions by Interpolation Trigonometric Polynomials in the Metric of the Space $L$ |
| title_short | Approximation of Periodic Analytic Functions by Interpolation Trigonometric Polynomials in the Metric of the Space $L$ |
| title_sort | approximation of periodic analytic functions by interpolation trigonometric polynomials in the metric of the space $l$ |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4108 |
| work_keys_str_mv | AT serdyukas approximationofperiodicanalyticfunctionsbyinterpolationtrigonometricpolynomialsinthemetricofthespacel AT serdûkas approximationofperiodicanalyticfunctionsbyinterpolationtrigonometricpolynomialsinthemetricofthespacel AT serdyukas nabližennâperíodičnihanalítičnihfunkcíjínterpolâcíjnimitrigonometričnimipolínomamiumetricíprostorul AT serdûkas nabližennâperíodičnihanalítičnihfunkcíjínterpolâcíjnimitrigonometričnimipolínomamiumetricíprostorul |