On the Exponential Uniform Strong Summability of Multiple Trigonometric Fourier Series
In the paper, in particular, it is proved that the 𝑠-dimensional trigonometric Fourier series of the 2π-periodic continuous on [–π, π]𝑠 function 𝑓 is uniformly strong summable to the function 𝑓 exponentially in the power . Moreover, it is proved that this result is best possible.
Gespeichert in:
| Autor*in: |
Gogoladze, Larry [verfasserIn] |
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| Format: |
E-Artikel |
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| Erschienen: |
Walter de Gruyter GmbH & Co. KG ; 2010 |
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| Schlagwörter: |
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| Anmerkung: |
© Heldermann Verlag |
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| Umfang: |
16 |
| Reproduktion: |
Walter de Gruyter Online Zeitschriften |
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| Übergeordnetes Werk: |
In: 1072-9176 - 16(2010), 3 vom: 10. März, Seite 517-532 |
| Übergeordnetes Werk: |
In: 16(2010), 3 vom: 10. März, Seite 517-532 volume:16 ; year:2010 ; number:3 ; day:10 ; month:03 ; pages:517-532 ; extent:16 |
| Links: |
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| DOI / URN: |
10.1515/GMJ.2009.517 |
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NLEJ246891815 |
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10.1515/GMJ.2009.517 doi artikel_Grundlieferung.pp (DE-627)NLEJ246891815 DE-627 ger DE-627 rakwb Gogoladze, Larry verfasserin aut On the Exponential Uniform Strong Summability of Multiple Trigonometric Fourier Series Walter de Gruyter GmbH & Co. KG 2010 16 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Heldermann Verlag In the paper, in particular, it is proved that the 𝑠-dimensional trigonometric Fourier series of the 2π-periodic continuous on [–π, π]𝑠 function 𝑓 is uniformly strong summable to the function 𝑓 exponentially in the power . Moreover, it is proved that this result is best possible. Walter de Gruyter Online Zeitschriften Strong summability best approximation modulus of continuity In 16(2010), 3 vom: 10. März, Seite 517-532 1072-9176 volume:16 year:2010 number:3 day:10 month:03 pages:517-532 extent:16 https://doi.org/10.1515/GMJ.2009.517 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 16 2010 3 10 03 517-532 16 |
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10.1515/GMJ.2009.517 doi artikel_Grundlieferung.pp (DE-627)NLEJ246891815 DE-627 ger DE-627 rakwb Gogoladze, Larry verfasserin aut On the Exponential Uniform Strong Summability of Multiple Trigonometric Fourier Series Walter de Gruyter GmbH & Co. KG 2010 16 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Heldermann Verlag In the paper, in particular, it is proved that the 𝑠-dimensional trigonometric Fourier series of the 2π-periodic continuous on [–π, π]𝑠 function 𝑓 is uniformly strong summable to the function 𝑓 exponentially in the power . Moreover, it is proved that this result is best possible. Walter de Gruyter Online Zeitschriften Strong summability best approximation modulus of continuity In 16(2010), 3 vom: 10. März, Seite 517-532 1072-9176 volume:16 year:2010 number:3 day:10 month:03 pages:517-532 extent:16 https://doi.org/10.1515/GMJ.2009.517 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 16 2010 3 10 03 517-532 16 |
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10.1515/GMJ.2009.517 doi artikel_Grundlieferung.pp (DE-627)NLEJ246891815 DE-627 ger DE-627 rakwb Gogoladze, Larry verfasserin aut On the Exponential Uniform Strong Summability of Multiple Trigonometric Fourier Series Walter de Gruyter GmbH & Co. KG 2010 16 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Heldermann Verlag In the paper, in particular, it is proved that the 𝑠-dimensional trigonometric Fourier series of the 2π-periodic continuous on [–π, π]𝑠 function 𝑓 is uniformly strong summable to the function 𝑓 exponentially in the power . Moreover, it is proved that this result is best possible. Walter de Gruyter Online Zeitschriften Strong summability best approximation modulus of continuity In 16(2010), 3 vom: 10. März, Seite 517-532 1072-9176 volume:16 year:2010 number:3 day:10 month:03 pages:517-532 extent:16 https://doi.org/10.1515/GMJ.2009.517 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 16 2010 3 10 03 517-532 16 |
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10.1515/GMJ.2009.517 doi artikel_Grundlieferung.pp (DE-627)NLEJ246891815 DE-627 ger DE-627 rakwb Gogoladze, Larry verfasserin aut On the Exponential Uniform Strong Summability of Multiple Trigonometric Fourier Series Walter de Gruyter GmbH & Co. KG 2010 16 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Heldermann Verlag In the paper, in particular, it is proved that the 𝑠-dimensional trigonometric Fourier series of the 2π-periodic continuous on [–π, π]𝑠 function 𝑓 is uniformly strong summable to the function 𝑓 exponentially in the power . Moreover, it is proved that this result is best possible. Walter de Gruyter Online Zeitschriften Strong summability best approximation modulus of continuity In 16(2010), 3 vom: 10. März, Seite 517-532 1072-9176 volume:16 year:2010 number:3 day:10 month:03 pages:517-532 extent:16 https://doi.org/10.1515/GMJ.2009.517 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 16 2010 3 10 03 517-532 16 |
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10.1515/GMJ.2009.517 doi artikel_Grundlieferung.pp (DE-627)NLEJ246891815 DE-627 ger DE-627 rakwb Gogoladze, Larry verfasserin aut On the Exponential Uniform Strong Summability of Multiple Trigonometric Fourier Series Walter de Gruyter GmbH & Co. KG 2010 16 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Heldermann Verlag In the paper, in particular, it is proved that the 𝑠-dimensional trigonometric Fourier series of the 2π-periodic continuous on [–π, π]𝑠 function 𝑓 is uniformly strong summable to the function 𝑓 exponentially in the power . Moreover, it is proved that this result is best possible. Walter de Gruyter Online Zeitschriften Strong summability best approximation modulus of continuity In 16(2010), 3 vom: 10. März, Seite 517-532 1072-9176 volume:16 year:2010 number:3 day:10 month:03 pages:517-532 extent:16 https://doi.org/10.1515/GMJ.2009.517 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 16 2010 3 10 03 517-532 16 |
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on the exponential uniform strong summability of multiple trigonometric fourier series |
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On the Exponential Uniform Strong Summability of Multiple Trigonometric Fourier Series |
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In the paper, in particular, it is proved that the 𝑠-dimensional trigonometric Fourier series of the 2π-periodic continuous on [–π, π]𝑠 function 𝑓 is uniformly strong summable to the function 𝑓 exponentially in the power . Moreover, it is proved that this result is best possible. © Heldermann Verlag |
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In the paper, in particular, it is proved that the 𝑠-dimensional trigonometric Fourier series of the 2π-periodic continuous on [–π, π]𝑠 function 𝑓 is uniformly strong summable to the function 𝑓 exponentially in the power . Moreover, it is proved that this result is best possible. © Heldermann Verlag |
| abstract_unstemmed |
In the paper, in particular, it is proved that the 𝑠-dimensional trigonometric Fourier series of the 2π-periodic continuous on [–π, π]𝑠 function 𝑓 is uniformly strong summable to the function 𝑓 exponentially in the power . Moreover, it is proved that this result is best possible. © Heldermann Verlag |
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