MODIFIED MODULUS OF SMOOTHNESS AND APPROXIMATION IN WEIGHTED LORENTZ SPACES BY BOREL AND EULER MEANS
Using one-sided Steklov means, we introduce a new modulus of smoothness in weighted Lorentz spaces. The direct and inverse approximation theorem for this modulus of smoothness are proved. Also, we estimate the rate of approximation by the Borel and Euler means in weighted Lorentz spaces.
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| Format: | Article |
| Language: | English |
| Published: |
Petrozavodsk State University
2020-12-01
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| Series: | Проблемы анализа |
| Subjects: | |
| Online Access: | https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=8950&lang=ru |
| _version_ | 1818788638991843328 |
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| author | S. S. Volosivets |
| author_facet | S. S. Volosivets |
| author_sort | S. S. Volosivets |
| collection | DOAJ |
| description | Using one-sided Steklov means, we introduce a new
modulus of smoothness in weighted Lorentz spaces. The direct and
inverse approximation theorem for this modulus of smoothness are
proved. Also, we estimate the rate of approximation by the Borel
and Euler means in weighted Lorentz spaces. |
| first_indexed | 2024-12-18T14:26:51Z |
| format | Article |
| id | doaj.art-e99d20018d8a4798b3183f31ba3e3738 |
| institution | Directory Open Access Journal |
| issn | 2306-3424 2306-3432 |
| language | English |
| last_indexed | 2024-12-18T14:26:51Z |
| publishDate | 2020-12-01 |
| publisher | Petrozavodsk State University |
| record_format | Article |
| series | Проблемы анализа |
| spelling | doaj.art-e99d20018d8a4798b3183f31ba3e37382022-12-21T21:04:41ZengPetrozavodsk State UniversityПроблемы анализа2306-34242306-34322020-12-0110 (28)18710010.15393/j3.art.2021.8950MODIFIED MODULUS OF SMOOTHNESS AND APPROXIMATION IN WEIGHTED LORENTZ SPACES BY BOREL AND EULER MEANSS. S. Volosivets0Saratov State UniversityUsing one-sided Steklov means, we introduce a new modulus of smoothness in weighted Lorentz spaces. The direct and inverse approximation theorem for this modulus of smoothness are proved. Also, we estimate the rate of approximation by the Borel and Euler means in weighted Lorentz spaces.https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=8950&lang=ruweighted lorentz spacesdirect and inverse approximation theoremsborel meanseuler means |
| spellingShingle | S. S. Volosivets MODIFIED MODULUS OF SMOOTHNESS AND APPROXIMATION IN WEIGHTED LORENTZ SPACES BY BOREL AND EULER MEANS Проблемы анализа weighted lorentz spaces direct and inverse approximation theorems borel means euler means |
| title | MODIFIED MODULUS OF SMOOTHNESS AND APPROXIMATION IN WEIGHTED LORENTZ SPACES BY BOREL AND EULER MEANS |
| title_full | MODIFIED MODULUS OF SMOOTHNESS AND APPROXIMATION IN WEIGHTED LORENTZ SPACES BY BOREL AND EULER MEANS |
| title_fullStr | MODIFIED MODULUS OF SMOOTHNESS AND APPROXIMATION IN WEIGHTED LORENTZ SPACES BY BOREL AND EULER MEANS |
| title_full_unstemmed | MODIFIED MODULUS OF SMOOTHNESS AND APPROXIMATION IN WEIGHTED LORENTZ SPACES BY BOREL AND EULER MEANS |
| title_short | MODIFIED MODULUS OF SMOOTHNESS AND APPROXIMATION IN WEIGHTED LORENTZ SPACES BY BOREL AND EULER MEANS |
| title_sort | modified modulus of smoothness and approximation in weighted lorentz spaces by borel and euler means |
| topic | weighted lorentz spaces direct and inverse approximation theorems borel means euler means |
| url | https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=8950&lang=ru |
| work_keys_str_mv | AT ssvolosivets modifiedmodulusofsmoothnessandapproximationinweightedlorentzspacesbyborelandeulermeans |