Approximation of functions in the generalized Zygmund class using Hausdorff means
Abstract In this paper we investigate the degree of approximation of a function belonging to the generalized Zygmund class Z p ( ω ) $Z_{p}^{(\omega)}$ ( p ≥ 1 $p \ge1$ ) by Hausdorff means of its Fourier series. We also deduce a corollary and mention a few applications of our main results.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-05-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-017-1361-8 |
| _version_ | 1819060552874328064 |
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| author | Mradul Veer Singh ML Mittal BE Rhoades |
| author_facet | Mradul Veer Singh ML Mittal BE Rhoades |
| author_sort | Mradul Veer Singh |
| collection | DOAJ |
| description | Abstract In this paper we investigate the degree of approximation of a function belonging to the generalized Zygmund class Z p ( ω ) $Z_{p}^{(\omega)}$ ( p ≥ 1 $p \ge1$ ) by Hausdorff means of its Fourier series. We also deduce a corollary and mention a few applications of our main results. |
| first_indexed | 2024-12-21T14:28:49Z |
| format | Article |
| id | doaj.art-5fd31bb6321a41de84bc99dff101d8a1 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-21T14:28:49Z |
| publishDate | 2017-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-5fd31bb6321a41de84bc99dff101d8a12022-12-21T19:00:34ZengSpringerOpenJournal of Inequalities and Applications1029-242X2017-05-012017111110.1186/s13660-017-1361-8Approximation of functions in the generalized Zygmund class using Hausdorff meansMradul Veer Singh0ML Mittal1BE Rhoades2Department of Mathematics, University of Petroleum and Energy StudiesDepartment of Mathematics, Indian Institute of Technology, RoorkeeDepartment of Mathematics, Indiana UniversityAbstract In this paper we investigate the degree of approximation of a function belonging to the generalized Zygmund class Z p ( ω ) $Z_{p}^{(\omega)}$ ( p ≥ 1 $p \ge1$ ) by Hausdorff means of its Fourier series. We also deduce a corollary and mention a few applications of our main results.http://link.springer.com/article/10.1186/s13660-017-1361-8Zygmund classdegree of approximationtrigonometric Fourier seriesHausdorff means |
| spellingShingle | Mradul Veer Singh ML Mittal BE Rhoades Approximation of functions in the generalized Zygmund class using Hausdorff means Journal of Inequalities and Applications Zygmund class degree of approximation trigonometric Fourier series Hausdorff means |
| title | Approximation of functions in the generalized Zygmund class using Hausdorff means |
| title_full | Approximation of functions in the generalized Zygmund class using Hausdorff means |
| title_fullStr | Approximation of functions in the generalized Zygmund class using Hausdorff means |
| title_full_unstemmed | Approximation of functions in the generalized Zygmund class using Hausdorff means |
| title_short | Approximation of functions in the generalized Zygmund class using Hausdorff means |
| title_sort | approximation of functions in the generalized zygmund class using hausdorff means |
| topic | Zygmund class degree of approximation trigonometric Fourier series Hausdorff means |
| url | http://link.springer.com/article/10.1186/s13660-017-1361-8 |
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