{"language":[{"iso":"eng"}],"volume":173,"alternative_id":["4477"],"abstract":[{"lang":"ger","text":"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."}],"citation":{"apa":"Badea, C., Cottin, C., &#38; Gonska, H. H. (1995). Bögel Functions, Tensor Products and Blending Approximation. <i>Mathematische Nachrichten</i>, <i>173</i>(1), 25–48. <a href=\"https://doi.org/10.1002/mana.19951730103\">https://doi.org/10.1002/mana.19951730103</a>","ama":"Badea C, Cottin C, Gonska HH. Bögel Functions, Tensor Products and Blending Approximation. <i>Mathematische Nachrichten</i>. 1995;173(1):25-48. doi:<a href=\"https://doi.org/10.1002/mana.19951730103\">10.1002/mana.19951730103</a>","ieee":"C. Badea, C. Cottin, and H. H. Gonska, “Bögel Functions, Tensor Products and Blending Approximation,” <i>Mathematische Nachrichten</i>, vol. 173, no. 1, pp. 25–48, 1995.","alphadin":"<span style=\"font-variant:small-caps;\">Badea, Catalin</span> ; <span style=\"font-variant:small-caps;\">Cottin, Claudia</span> ; <span style=\"font-variant:small-caps;\">Gonska, Heinz H.</span>: Bögel Functions, Tensor Products and Blending Approximation. In: <i>Mathematische Nachrichten</i> Bd. 173, Wiley (1995), Nr. 1, S. 25–48","chicago":"Badea, Catalin, Claudia Cottin, and Heinz H. Gonska. “Bögel Functions, Tensor Products and Blending Approximation.” <i>Mathematische Nachrichten</i> 173, no. 1 (1995): 25–48. <a href=\"https://doi.org/10.1002/mana.19951730103\">https://doi.org/10.1002/mana.19951730103</a>.","bibtex":"@article{Badea_Cottin_Gonska_1995, title={Bögel Functions, Tensor Products and Blending Approximation}, volume={173}, DOI={<a href=\"https://doi.org/10.1002/mana.19951730103\">10.1002/mana.19951730103</a>}, number={1}, journal={Mathematische Nachrichten}, publisher={Wiley}, author={Badea, Catalin and Cottin, Claudia and Gonska, Heinz H.}, year={1995}, pages={25–48} }","mla":"Badea, Catalin, et al. “Bögel Functions, Tensor Products and Blending Approximation.” <i>Mathematische Nachrichten</i>, vol. 173, no. 1, Wiley, 1995, pp. 25–48, doi:<a href=\"https://doi.org/10.1002/mana.19951730103\">10.1002/mana.19951730103</a>.","short":"C. Badea, C. Cottin, H.H. Gonska, Mathematische Nachrichten 173 (1995) 25–48."},"year":"1995","type":"journal_article","publication_status":"published","title":"Bögel Functions, Tensor Products and Blending Approximation","_id":"5635","status":"public","issue":"1","project":[{"name":"Institute for Data Science Solutions","_id":"f432a2ee-bceb-11ed-a251-a83585c5074d"}],"doi":"10.1002/mana.19951730103","publisher":"Wiley","author":[{"first_name":"Catalin","full_name":"Badea, Catalin","last_name":"Badea"},{"first_name":"Claudia","id":"33935","full_name":"Cottin, Claudia","last_name":"Cottin"},{"last_name":"Gonska","full_name":"Gonska, Heinz H.","first_name":"Heinz H."}],"page":"25-48","user_id":"220548","date_created":"2025-02-16T18:55:00Z","date_updated":"2025-02-18T07:29:54Z","extern":"1","publication":"Mathematische Nachrichten","intvolume":"       173","publication_identifier":{"eissn":["1522-2616"],"issn":["0025-584X"]}}