A method of summation of the Fourier-Jacobi series

A summation method is constructed for the Fourier-Jacobi series, which has properties similar to the properties of the de la Vallée-Poussin methods of summation of the Fourier series by the trigonometric system.

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Datum:1993
Hauptverfasser: Runovskii, K. V., Руновский, К. В.
Format: Artikel
Sprache:Russisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1993
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/5854
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл: Pdf

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Ukrains’kyi Matematychnyi Zhurnal
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author Runovskii, K. V.
Руновский, К. В.
Руновский, К. В.
author_facet Runovskii, K. V.
Руновский, К. В.
Руновский, К. В.
author_sort Runovskii, K. V.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
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datestamp_date 2020-03-19T09:19:18Z
description A summation method is constructed for the Fourier-Jacobi series, which has properties similar to the properties of the de la Vallée-Poussin methods of summation of the Fourier series by the trigonometric system.
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spelling umjimathkievua-article-58542020-03-19T09:19:18Z A method of summation of the Fourier-Jacobi series Об одном методе суммирования рядов Фурье - Якоби Runovskii, K. V. Руновский, К. В. Руновский, К. В. A summation method is constructed for the Fourier-Jacobi series, which has properties similar to the properties of the de la Vallée-Poussin methods of summation of the Fourier series by the trigonometric system. Побудовані методи підсумовування рядів Фур’є — Якобі, які за своїми властивостями аналогічні методам підсумовування Валле Пуссена рядів Фур’є за тригонометричною системою. Institute of Mathematics, NAS of Ukraine 1993-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5854 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 5 (1993); 676–680 Український математичний журнал; Том 45 № 5 (1993); 676–680 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5854/8391 https://umj.imath.kiev.ua/index.php/umj/article/view/5854/8392 Copyright (c) 1993 Runovskii K. V.
spellingShingle Runovskii, K. V.
Руновский, К. В.
Руновский, К. В.
A method of summation of the Fourier-Jacobi series
title A method of summation of the Fourier-Jacobi series
title_alt Об одном методе суммирования рядов Фурье - Якоби
title_full A method of summation of the Fourier-Jacobi series
title_fullStr A method of summation of the Fourier-Jacobi series
title_full_unstemmed A method of summation of the Fourier-Jacobi series
title_short A method of summation of the Fourier-Jacobi series
title_sort method of summation of the fourier-jacobi series
url https://umj.imath.kiev.ua/index.php/umj/article/view/5854
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