On a problem of krasnosel'skii and rutickii
In \cite[p. 30]{5}, M. A. Krasnosel'skii and Ya. B. Rutickii proposed a problem, which can be reformulated as follows. Let $f$ be an $N$-function such that $f(ts)\leq f(t)f(s)$, $s,t\geq 1$. Is there another $N$-function $F$ such that $F(st)\leq F(t)F(s)$, $s,t and gt;0$ and equivalent to $f$ o...
- Autores:
-
Bárcenas, Diomedes
Finol, Carlos
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2011
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/39501
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/39501
http://bdigital.unal.edu.co/29598/
- Palabra clave:
- Orlicz Functions
N-Functions
Submultiplicative Functions
Matuszewska--Orlicz indices
39B62
26B25
26A51
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
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Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Bárcenas, Diomedesb6049638-790f-45c9-a89d-adf239f12cbc300Finol, Carlos836f553c-1730-4e29-bd26-72a998e6a0833002019-06-28T03:58:29Z2019-06-28T03:58:29Z2011https://repositorio.unal.edu.co/handle/unal/39501http://bdigital.unal.edu.co/29598/In \cite[p. 30]{5}, M. A. Krasnosel'skii and Ya. B. Rutickii proposed a problem, which can be reformulated as follows. Let $f$ be an $N$-function such that $f(ts)\leq f(t)f(s)$, $s,t\geq 1$. Is there another $N$-function $F$ such that $F(st)\leq F(t)F(s)$, $s,t and gt;0$ and equivalent to $f$ on $[1,\infty)?$. We give a necessary and sufficient condition for a positive and constructive solution.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/28134Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 45, núm. 2 (2011); 179-186 0034-7426Bárcenas, Diomedes and Finol, Carlos (2011) On a problem of krasnosel'skii and rutickii. Revista Colombiana de Matemáticas; Vol. 45, núm. 2 (2011); 179-186 0034-7426 .On a problem of krasnosel'skii and rutickiiArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTOrlicz FunctionsN-FunctionsSubmultiplicative FunctionsMatuszewska--Orlicz indices39B6226B2526A51ORIGINAL28134-142407-1-PB.htmltext/html5332https://repositorio.unal.edu.co/bitstream/unal/39501/1/28134-142407-1-PB.htmld2e9f88e7077fc187d484676e1c0eda3MD5128134-99781-1-PB.pdfapplication/pdf161626https://repositorio.unal.edu.co/bitstream/unal/39501/2/28134-99781-1-PB.pdf8ec575ff87ae4a1b7f92683319dd7aa9MD52THUMBNAIL28134-99781-1-PB.pdf.jpg28134-99781-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg4634https://repositorio.unal.edu.co/bitstream/unal/39501/3/28134-99781-1-PB.pdf.jpg22204cb5300ee528f2021483a0727466MD53unal/39501oai:repositorio.unal.edu.co:unal/395012024-01-20 23:06:31.94Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
| dc.title.spa.fl_str_mv |
On a problem of krasnosel'skii and rutickii |
| title |
On a problem of krasnosel'skii and rutickii |
| spellingShingle |
On a problem of krasnosel'skii and rutickii Orlicz Functions N-Functions Submultiplicative Functions Matuszewska--Orlicz indices 39B62 26B25 26A51 |
| title_short |
On a problem of krasnosel'skii and rutickii |
| title_full |
On a problem of krasnosel'skii and rutickii |
| title_fullStr |
On a problem of krasnosel'skii and rutickii |
| title_full_unstemmed |
On a problem of krasnosel'skii and rutickii |
| title_sort |
On a problem of krasnosel'skii and rutickii |
| dc.creator.fl_str_mv |
Bárcenas, Diomedes Finol, Carlos |
| dc.contributor.author.spa.fl_str_mv |
Bárcenas, Diomedes Finol, Carlos |
| dc.subject.proposal.spa.fl_str_mv |
Orlicz Functions N-Functions Submultiplicative Functions Matuszewska--Orlicz indices 39B62 26B25 26A51 |
| topic |
Orlicz Functions N-Functions Submultiplicative Functions Matuszewska--Orlicz indices 39B62 26B25 26A51 |
| description |
In \cite[p. 30]{5}, M. A. Krasnosel'skii and Ya. B. Rutickii proposed a problem, which can be reformulated as follows. Let $f$ be an $N$-function such that $f(ts)\leq f(t)f(s)$, $s,t\geq 1$. Is there another $N$-function $F$ such that $F(st)\leq F(t)F(s)$, $s,t and gt;0$ and equivalent to $f$ on $[1,\infty)?$. We give a necessary and sufficient condition for a positive and constructive solution. |
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2011 |
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2011 |
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2019-06-28T03:58:29Z |
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2019-06-28T03:58:29Z |
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spa |
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http://revistas.unal.edu.co/index.php/recolma/article/view/28134 |
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Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas Revista Colombiana de Matemáticas |
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Revista Colombiana de Matemáticas; Vol. 45, núm. 2 (2011); 179-186 0034-7426 |
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Bárcenas, Diomedes and Finol, Carlos (2011) On a problem of krasnosel'skii and rutickii. Revista Colombiana de Matemáticas; Vol. 45, núm. 2 (2011); 179-186 0034-7426 . |
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Derechos reservados - Universidad Nacional de Colombia |
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Atribución-NoComercial 4.0 Internacional |
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