Coincidence criteria for the kernel of a function and the kernel of its integral almost positive means
We establish necessary and sufficient conditions for a point A of the Knopp kernelK(f) of a functionf to belong to the kernelK(M) of a functionM(t):=∫ S fdμ t , where the so-called almost positive measures μ t determine a regular method of summation. In particular, this gives coincidence criteria...
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| Datum: | 1999 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1999
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4722 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510884997103616 |
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| author | Usenko, E. G. Усенко, Є. Г. |
| author_facet | Usenko, E. G. Усенко, Є. Г. |
| author_sort | Usenko, E. G. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:12:04Z |
| description | We establish necessary and sufficient conditions for a point A of the Knopp kernelK(f) of a functionf to belong to the kernelK(M) of a functionM(t):=∫ S fdμ t , where the so-called almost positive measures μ t determine a regular method of summation. In particular, this gives coincidence criteria for the kernelsK(f) andK(M). |
| first_indexed | 2026-03-24T03:04:06Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4722 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:04:06Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/35/f5c9bd4e5a6b8a63a90b307ca569d235.pdf |
| spelling | umjimathkievua-article-47222020-03-18T21:12:04Z Coincidence criteria for the kernel of a function and the kernel of its integral almost positive means Критерії співпадания ядра функції з ядром її інтегральних майже додатних середніх Usenko, E. G. Усенко, Є. Г. We establish necessary and sufficient conditions for a point A of the Knopp kernelK(f) of a functionf to belong to the kernelK(M) of a functionM(t):=∫ S fdμ t , where the so-called almost positive measures μ t determine a regular method of summation. In particular, this gives coincidence criteria for the kernelsK(f) andK(M). Вказано необхідні та достатні умови для того, щоб точка А ядра у розумінні Кноппа $K(f)$ функції $f$ належала до ядра $K(M)$ функції $M(t): = \int_S fdμ t$. Де так звані майже додатні міри $ μ_t$ визначають регулярний метод підсумовування. Звідси, зокрема, випливають критерії збігу ядер $K(f)$ і $K(M)$. Institute of Mathematics, NAS of Ukraine 1999-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4722 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 9 (1999); 1267–1275 Український математичний журнал; Том 51 № 9 (1999); 1267–1275 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4722/6145 https://umj.imath.kiev.ua/index.php/umj/article/view/4722/6146 Copyright (c) 1999 Usenko E. G. |
| spellingShingle | Usenko, E. G. Усенко, Є. Г. Coincidence criteria for the kernel of a function and the kernel of its integral almost positive means |
| title | Coincidence criteria for the kernel of a function and the kernel of its integral almost positive means |
| title_alt | Критерії співпадания ядра функції з ядром її інтегральних майже додатних середніх |
| title_full | Coincidence criteria for the kernel of a function and the kernel of its integral almost positive means |
| title_fullStr | Coincidence criteria for the kernel of a function and the kernel of its integral almost positive means |
| title_full_unstemmed | Coincidence criteria for the kernel of a function and the kernel of its integral almost positive means |
| title_short | Coincidence criteria for the kernel of a function and the kernel of its integral almost positive means |
| title_sort | coincidence criteria for the kernel of a function and the kernel of its integral almost positive means |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4722 |
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