Discretized Newman-Shapiro Operators and Jackson’s Inequality on the Sphere

Abstract Applying a quadrature rule with positive weights to some integral operators introduced by Newman and Shapiro we obtain generalized hyperinterpolation operators on the sphere, whose approximation error can be estimated — inspite of the discretisation — by means of the modulus of continuity....
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Reimer, Manfred [verfasserIn]

Format:	Artikel
Sprache:	Englisch

Erschienen:	1999

Anmerkung:	© Birkhäuser Verlag, Basel 1999

Übergeordnetes Werk:	Enthalten in: Results in mathematics - Birkhäuser-Verlag, 1984, 36(1999), 3-4 vom: 01. Nov., Seite 331-341
Übergeordnetes Werk:	volume:36 ; year:1999 ; number:3-4 ; day:01 ; month:11 ; pages:331-341

Links:	Volltext

DOI / URN:	10.1007/BF03322120

Katalog-ID:	OLC2069525384

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allfields_unstemmed	10.1007/BF03322120 doi (DE-627)OLC2069525384 (DE-He213)BF03322120-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Reimer, Manfred verfasserin aut Discretized Newman-Shapiro Operators and Jackson’s Inequality on the Sphere 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag, Basel 1999 Abstract Applying a quadrature rule with positive weights to some integral operators introduced by Newman and Shapiro we obtain generalized hyperinterpolation operators on the sphere, whose approximation error can be estimated — inspite of the discretisation — by means of the modulus of continuity. The main reason is that the weight distribution satisfies necessarily some regularity condition, which has been used before in hyperinterpolation by Sloan and Womersley, and which turned out to hold always by its own. Enthalten in Results in mathematics Birkhäuser-Verlag, 1984 36(1999), 3-4 vom: 01. Nov., Seite 331-341 (DE-627)129571423 (DE-600)226632-5 (DE-576)015060160 1422-6383 nnns volume:36 year:1999 number:3-4 day:01 month:11 pages:331-341 https://doi.org/10.1007/BF03322120 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_100 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2008 GBV_ILN_2015 GBV_ILN_2088 GBV_ILN_4027 GBV_ILN_4116 GBV_ILN_4277 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4316 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4323 AR 36 1999 3-4 01 11 331-341
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allfieldsSound	10.1007/BF03322120 doi (DE-627)OLC2069525384 (DE-He213)BF03322120-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Reimer, Manfred verfasserin aut Discretized Newman-Shapiro Operators and Jackson’s Inequality on the Sphere 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag, Basel 1999 Abstract Applying a quadrature rule with positive weights to some integral operators introduced by Newman and Shapiro we obtain generalized hyperinterpolation operators on the sphere, whose approximation error can be estimated — inspite of the discretisation — by means of the modulus of continuity. The main reason is that the weight distribution satisfies necessarily some regularity condition, which has been used before in hyperinterpolation by Sloan and Womersley, and which turned out to hold always by its own. Enthalten in Results in mathematics Birkhäuser-Verlag, 1984 36(1999), 3-4 vom: 01. Nov., Seite 331-341 (DE-627)129571423 (DE-600)226632-5 (DE-576)015060160 1422-6383 nnns volume:36 year:1999 number:3-4 day:01 month:11 pages:331-341 https://doi.org/10.1007/BF03322120 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_100 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2008 GBV_ILN_2015 GBV_ILN_2088 GBV_ILN_4027 GBV_ILN_4116 GBV_ILN_4277 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4316 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4323 AR 36 1999 3-4 01 11 331-341
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title_auth	Discretized Newman-Shapiro Operators and Jackson’s Inequality on the Sphere
abstract	Abstract Applying a quadrature rule with positive weights to some integral operators introduced by Newman and Shapiro we obtain generalized hyperinterpolation operators on the sphere, whose approximation error can be estimated — inspite of the discretisation — by means of the modulus of continuity. The main reason is that the weight distribution satisfies necessarily some regularity condition, which has been used before in hyperinterpolation by Sloan and Womersley, and which turned out to hold always by its own. © Birkhäuser Verlag, Basel 1999
abstractGer	Abstract Applying a quadrature rule with positive weights to some integral operators introduced by Newman and Shapiro we obtain generalized hyperinterpolation operators on the sphere, whose approximation error can be estimated — inspite of the discretisation — by means of the modulus of continuity. The main reason is that the weight distribution satisfies necessarily some regularity condition, which has been used before in hyperinterpolation by Sloan and Womersley, and which turned out to hold always by its own. © Birkhäuser Verlag, Basel 1999
abstract_unstemmed	Abstract Applying a quadrature rule with positive weights to some integral operators introduced by Newman and Shapiro we obtain generalized hyperinterpolation operators on the sphere, whose approximation error can be estimated — inspite of the discretisation — by means of the modulus of continuity. The main reason is that the weight distribution satisfies necessarily some regularity condition, which has been used before in hyperinterpolation by Sloan and Womersley, and which turned out to hold always by its own. © Birkhäuser Verlag, Basel 1999
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title_short	Discretized Newman-Shapiro Operators and Jackson’s Inequality on the Sphere
url	https://doi.org/10.1007/BF03322120
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doi_str	10.1007/BF03322120
up_date	2024-07-03T22:31:22.529Z
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