On the approximation by trigonometric polynomials in weighted Lorentz spaces
We obtain estimates of structural characteristics of 2π-periodic functions by the best trigonometric approximations in weighted Lorentz spaces, and show that the order of generalized modulus of smoothness depends not only on the rate of the best approximation, but also on the metric of the spaces. I...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
|
| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2010/372106 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849396550475710464 |
|---|---|
| author | Vakhtang Kokilashvili Yunus E. Yildirir |
| author_facet | Vakhtang Kokilashvili Yunus E. Yildirir |
| author_sort | Vakhtang Kokilashvili |
| collection | DOAJ |
| description | We obtain estimates of structural characteristics of 2π-periodic functions by the best trigonometric approximations in weighted Lorentz spaces, and show that the order of generalized modulus of smoothness depends not only on the rate of the best approximation, but also on the metric of the spaces. In weighted Lorentz spaces Lps, this influence is expressed not only in terms of the parameter p, but also in terms of the second parameter s. |
| format | Article |
| id | doaj-art-b30eb45a5b2c4e2e90066d850f202e34 |
| institution | Kabale University |
| issn | 0972-6802 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-b30eb45a5b2c4e2e90066d850f202e342025-08-20T03:39:18ZengWileyJournal of Function Spaces and Applications0972-68022010-01-0181678610.1155/2010/372106On the approximation by trigonometric polynomials in weighted Lorentz spacesVakhtang Kokilashvili0Yunus E. Yildirir1A. Razmadze Mathematical Institute, Aleksidze St. 1, Tbilisi 0193, International Black Sea University, Agmashenebeli Alley 2, Tbilisi 0131, GeorgiaBalikesir University, Faculty of Education, Department of Mathematics, Balikesir, 10100, TurkeyWe obtain estimates of structural characteristics of 2π-periodic functions by the best trigonometric approximations in weighted Lorentz spaces, and show that the order of generalized modulus of smoothness depends not only on the rate of the best approximation, but also on the metric of the spaces. In weighted Lorentz spaces Lps, this influence is expressed not only in terms of the parameter p, but also in terms of the second parameter s.http://dx.doi.org/10.1155/2010/372106 |
| spellingShingle | Vakhtang Kokilashvili Yunus E. Yildirir On the approximation by trigonometric polynomials in weighted Lorentz spaces Journal of Function Spaces and Applications |
| title | On the approximation by trigonometric polynomials in weighted Lorentz spaces |
| title_full | On the approximation by trigonometric polynomials in weighted Lorentz spaces |
| title_fullStr | On the approximation by trigonometric polynomials in weighted Lorentz spaces |
| title_full_unstemmed | On the approximation by trigonometric polynomials in weighted Lorentz spaces |
| title_short | On the approximation by trigonometric polynomials in weighted Lorentz spaces |
| title_sort | on the approximation by trigonometric polynomials in weighted lorentz spaces |
| url | http://dx.doi.org/10.1155/2010/372106 |
| work_keys_str_mv | AT vakhtangkokilashvili ontheapproximationbytrigonometricpolynomialsinweightedlorentzspaces AT yunuseyildirir ontheapproximationbytrigonometricpolynomialsinweightedlorentzspaces |