More on stability of two functional equations
UDC 517.5 We prove the generalized stability of the functional equations $\|f(x+y)\|=\|f(x)+f(y)\|$ and $\|f(x-y)\|= \|f(x)-f(y)\|$ in $p$-uniformly convex spaces with $p\geq 1.$
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| Datum: | 2023 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2023
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/7121 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512605212246016 |
|---|---|
| author | Sun, Longfa Dong, Yunbai Sun, Longfa Dong, Yunbai |
| author_facet | Sun, Longfa Dong, Yunbai Sun, Longfa Dong, Yunbai |
| author_sort | Sun, Longfa |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2023-07-02T07:08:14Z |
| description | UDC 517.5
We prove the generalized stability of the functional equations $\|f(x+y)\|=\|f(x)+f(y)\|$ and $\|f(x-y)\|= \|f(x)-f(y)\|$ in $p$-uniformly convex spaces with $p\geq 1.$ |
| doi_str_mv | 10.37863/umzh.v75i6.7121 |
| first_indexed | 2026-03-24T03:31:26Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-7121 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:31:26Z |
| publishDate | 2023 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-71212023-07-02T07:08:14Z More on stability of two functional equations More on stability of two functional equations Sun, Longfa Dong, Yunbai Sun, Longfa Dong, Yunbai Ulam stability problem uniform convexity Banach spaces 39B72 UDC 517.5 We prove the generalized stability of the functional equations $\|f(x+y)\|=\|f(x)+f(y)\|$ and $\|f(x-y)\|= \|f(x)-f(y)\|$ in $p$-uniformly convex spaces with $p\geq 1.$ УДК 517.5 Більше про стійкість двох функціональних рівнянь Доведено узагальнену стійкість функціональних рівнянь $\|f(x+y)\|=\|f(x)+f(y)\|$ і $\|f(x-y)\|=\|f(x)-f(y)\|$ у $p$-рівномірно опуклих просторах з $p\geq 1.$ Institute of Mathematics, NAS of Ukraine 2023-06-20 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7121 10.37863/umzh.v75i6.7121 Ukrains’kyi Matematychnyi Zhurnal; Vol. 75 No. 6 (2023); 859 - 868 Український математичний журнал; Том 75 № 6 (2023); 859 - 868 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7121/9768 Copyright (c) 2023 Longfa Sun, Yunbai Dong |
| spellingShingle | Sun, Longfa Dong, Yunbai Sun, Longfa Dong, Yunbai More on stability of two functional equations |
| title | More on stability of two functional equations |
| title_alt | More on stability of two functional equations |
| title_full | More on stability of two functional equations |
| title_fullStr | More on stability of two functional equations |
| title_full_unstemmed | More on stability of two functional equations |
| title_short | More on stability of two functional equations |
| title_sort | more on stability of two functional equations |
| topic_facet | Ulam stability problem uniform convexity Banach spaces 39B72 |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7121 |
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