Extension of the best approximation operator in Orlicz spaces and weak-type inequalities
We consider an extension of the best approximation operator from an Orlicz space L φ to the space L φ′, where φ′ denotes the derivative of φ, and we prove a weak-type inequality in this space. Further, we obtain some strong inequalities for suitable L ψ spaces.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337501000446 |
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| _version_ | 1832567533694091264 |
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| author | Sergio Favier Felipe Zò |
| author_facet | Sergio Favier Felipe Zò |
| author_sort | Sergio Favier |
| collection | DOAJ |
| description | We consider an extension of the best approximation operator from
an Orlicz space L φ
to the space L φ′, where φ′
denotes the derivative of φ, and we prove a weak-type inequality in this space. Further, we obtain some strong inequalities for suitable L ψ spaces. |
| format | Article |
| id | doaj-art-998ba74c59f04e9b97440a76b1fd4408 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-998ba74c59f04e9b97440a76b1fd44082025-02-03T01:01:17ZengWileyAbstract and Applied Analysis1085-33751687-04092001-01-016210111410.1155/S1085337501000446Extension of the best approximation operator in Orlicz spaces and weak-type inequalitiesSergio Favier0Felipe Zò1Instituto de Matemática Aplicada San Luis, Universidad Nacional de San Luis, Consejo Nacional de Investigaciones Científicas y Técnicas, Avenida Ejército de los Andes 950, San Luis 5700, ArgentinaInstituto de Matemática Aplicada San Luis, Universidad Nacional de San Luis, Consejo Nacional de Investigaciones Científicas y Técnicas, Avenida Ejército de los Andes 950, San Luis 5700, ArgentinaWe consider an extension of the best approximation operator from an Orlicz space L φ to the space L φ′, where φ′ denotes the derivative of φ, and we prove a weak-type inequality in this space. Further, we obtain some strong inequalities for suitable L ψ spaces.http://dx.doi.org/10.1155/S1085337501000446 |
| spellingShingle | Sergio Favier Felipe Zò Extension of the best approximation operator in Orlicz spaces and weak-type inequalities Abstract and Applied Analysis |
| title | Extension of the best approximation operator in Orlicz spaces and weak-type inequalities |
| title_full | Extension of the best approximation operator in Orlicz spaces and weak-type inequalities |
| title_fullStr | Extension of the best approximation operator in Orlicz spaces and weak-type inequalities |
| title_full_unstemmed | Extension of the best approximation operator in Orlicz spaces and weak-type inequalities |
| title_short | Extension of the best approximation operator in Orlicz spaces and weak-type inequalities |
| title_sort | extension of the best approximation operator in orlicz spaces and weak type inequalities |
| url | http://dx.doi.org/10.1155/S1085337501000446 |
| work_keys_str_mv | AT sergiofavier extensionofthebestapproximationoperatorinorliczspacesandweaktypeinequalities AT felipezo extensionofthebestapproximationoperatorinorliczspacesandweaktypeinequalities |