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Bögel Functions, Tensor Products and Blending Approximation

C. Badea, C. Cottin, H.H. Gonska, Mathematische Nachrichten 173 (1995) 25–48.

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Artikel | Veröffentlicht | Englisch
Autor*in
Badea, Catalin; Cottin, ClaudiaFH Bielefeld; Gonska, Heinz H.
Abstract
For two compact metric spaces X and Y, we prove that the space of all bounded Bogel functions on X x Y is isometrically isomorphic with the completion of the blending function space M ( X ) 0 C ( Y ) + C ( X )@ M ( Y ) with respect to a suitable norm. This solves a problem raised by G. FREUD.Here M ( Z ) and C ( Z )denote the spaces of all bounded and continuous functions on the metric space Z , respectively. Applications are given to some problems in so-called blending approximation. All this is based on an abstract Jackson-type theorem in terms of the entropy numbers of X and Y and the mixed modulus of smoothness.
Erscheinungsjahr
Zeitschriftentitel
Mathematische Nachrichten
Band
173
Zeitschriftennummer
1
Seite
25-48
ISSN
eISSN
FH-PUB-ID

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Badea, Catalin ; Cottin, Claudia ; Gonska, Heinz H.: Bögel Functions, Tensor Products and Blending Approximation. In: Mathematische Nachrichten Bd. 173, Wiley (1995), Nr. 1, S. 25–48
Badea C, Cottin C, Gonska HH. Bögel Functions, Tensor Products and Blending Approximation. Mathematische Nachrichten. 1995;173(1):25-48. doi:10.1002/mana.19951730103
Badea, C., Cottin, C., & Gonska, H. H. (1995). Bögel Functions, Tensor Products and Blending Approximation. Mathematische Nachrichten, 173(1), 25–48. https://doi.org/10.1002/mana.19951730103
@article{Badea_Cottin_Gonska_1995, title={Bögel Functions, Tensor Products and Blending Approximation}, volume={173}, DOI={10.1002/mana.19951730103}, number={1}, journal={Mathematische Nachrichten}, publisher={Wiley}, author={Badea, Catalin and Cottin, Claudia and Gonska, Heinz H.}, year={1995}, pages={25–48} }
Badea, Catalin, Claudia Cottin, and Heinz H. Gonska. “Bögel Functions, Tensor Products and Blending Approximation.” Mathematische Nachrichten 173, no. 1 (1995): 25–48. https://doi.org/10.1002/mana.19951730103.
C. Badea, C. Cottin, and H. H. Gonska, “Bögel Functions, Tensor Products and Blending Approximation,” Mathematische Nachrichten, vol. 173, no. 1, pp. 25–48, 1995.
Badea, Catalin, et al. “Bögel Functions, Tensor Products and Blending Approximation.” Mathematische Nachrichten, vol. 173, no. 1, Wiley, 1995, pp. 25–48, doi:10.1002/mana.19951730103.

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