Pointwise Approximation of Functions from 𝐿𝑝(𝑤)𝛽 by Linear Operators of Their Fourier Series
We show the results, corresponding to theorem of Lal (2009), on the rate of pointwise approximation of functions from the pointwise integral Lipschitz classes by matrix summability means of their Fourier series as well as the theorems on norm approximations.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2012/930967 |
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| _version_ | 1832556738345172992 |
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| author | Włodzimierz Łenski Bogdan Szal |
| author_facet | Włodzimierz Łenski Bogdan Szal |
| author_sort | Włodzimierz Łenski |
| collection | DOAJ |
| description | We show the results, corresponding to theorem of Lal (2009), on the rate of pointwise
approximation of functions from the pointwise integral Lipschitz
classes by matrix summability means of their Fourier series as well as
the theorems on norm approximations. |
| format | Article |
| id | doaj-art-434cf0782bad4e039a83c6bd31e4c418 |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-434cf0782bad4e039a83c6bd31e4c4182025-02-03T05:44:25ZengWileyJournal of Function Spaces and Applications0972-68021758-49652012-01-01201210.1155/2012/930967930967Pointwise Approximation of Functions from 𝐿𝑝(𝑤)𝛽 by Linear Operators of Their Fourier SeriesWłodzimierz Łenski0Bogdan Szal1Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, ul. Szafrana 4a, 65-516 Zielona Góra, PolandFaculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, ul. Szafrana 4a, 65-516 Zielona Góra, PolandWe show the results, corresponding to theorem of Lal (2009), on the rate of pointwise approximation of functions from the pointwise integral Lipschitz classes by matrix summability means of their Fourier series as well as the theorems on norm approximations.http://dx.doi.org/10.1155/2012/930967 |
| spellingShingle | Włodzimierz Łenski Bogdan Szal Pointwise Approximation of Functions from 𝐿𝑝(𝑤)𝛽 by Linear Operators of Their Fourier Series Journal of Function Spaces and Applications |
| title | Pointwise Approximation of Functions from 𝐿𝑝(𝑤)𝛽 by Linear Operators of Their Fourier Series |
| title_full | Pointwise Approximation of Functions from 𝐿𝑝(𝑤)𝛽 by Linear Operators of Their Fourier Series |
| title_fullStr | Pointwise Approximation of Functions from 𝐿𝑝(𝑤)𝛽 by Linear Operators of Their Fourier Series |
| title_full_unstemmed | Pointwise Approximation of Functions from 𝐿𝑝(𝑤)𝛽 by Linear Operators of Their Fourier Series |
| title_short | Pointwise Approximation of Functions from 𝐿𝑝(𝑤)𝛽 by Linear Operators of Their Fourier Series |
| title_sort | pointwise approximation of functions from 𝐿𝑝 𝑤 𝛽 by linear operators of their fourier series |
| url | http://dx.doi.org/10.1155/2012/930967 |
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