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https://hdl.handle.net/10316/4638
Title: | Continuity envelopes of spaces of generalised smoothness, entropy and approximation numbers | Authors: | Haroske, Dorothee D. Moura, Susana D. |
Keywords: | Function spaces of generalised smoothness; Continuity envelopes; Entropy numbers; Approximation numbers | Issue Date: | 2004 | Citation: | Journal of Approximation Theory. 128:2 (2004) 151-174 | Abstract: | We study continuity envelopes in spaces of generalised smoothness Bpq(s,[Psi]) and Fpq(s,[Psi]) and give some new characterisations for spaces Bpq(s,[Psi]). The results are applied to obtain sharp asymptotic estimates for approximation numbers of compact embeddings of type id:Bpq(s1,[Psi])(U)-->B[infinity][infinity]s2(U), where and U stands for the unit ball in . In case of entropy numbers we can prove two-sided estimates. | URI: | https://hdl.handle.net/10316/4638 | DOI: | 10.1016/j.jat.2004.04.008 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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file4c9dae82f31b4600b225718a876c35f6.pdf | 341.22 kB | Adobe PDF | View/Open |
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