Wang, Xiao Li; Wu, Ga Ridi On \(n\)-widths of a Sobolev function class in Orlicz spaces. (English) Zbl 1323.41025 Acta Math. Sin., Engl. Ser. 31, No. 9, 1475-1486 (2015). MSC: 41A30 41A46 PDFBibTeX XMLCite \textit{X. L. Wang} and \textit{G. R. Wu}, Acta Math. Sin., Engl. Ser. 31, No. 9, 1475--1486 (2015; Zbl 1323.41025) Full Text: DOI
Xie, Ting Fan; Cao, Fei Long On a problem of Hornik. (English) Zbl 1317.68197 Acta Math. Sin., Engl. Ser. 31, No. 7, 1141-1148 (2015). MSC: 68T05 41A30 41A46 41A63 PDFBibTeX XMLCite \textit{T. F. Xie} and \textit{F. L. Cao}, Acta Math. Sin., Engl. Ser. 31, No. 7, 1141--1148 (2015; Zbl 1317.68197) Full Text: DOI
Wang, He Ping; Wang, Kai; Wang, Jing Entropy numbers of Besov classes of generalized smoothness on the sphere. (English) Zbl 1284.41018 Acta Math. Sin., Engl. Ser. 30, No. 1, 51-60 (2014). MSC: 41A46 41A25 PDFBibTeX XMLCite \textit{H. P. Wang} et al., Acta Math. Sin., Engl. Ser. 30, No. 1, 51--60 (2014; Zbl 1284.41018) Full Text: DOI
Li, Yue Wu; Fang, Gen Sun Bernstein \(n\)-width of Besov embeddings on Lipschitz domains. (English) Zbl 1280.41023 Acta Math. Sin., Engl. Ser. 29, No. 12, 2283-2294 (2013). MSC: 41A46 42A61 47A58 PDFBibTeX XMLCite \textit{Y. W. Li} and \textit{G. S. Fang}, Acta Math. Sin., Engl. Ser. 29, No. 12, 2283--2294 (2013; Zbl 1280.41023) Full Text: DOI
Yu, Dan Sheng Approximation by neural networks with sigmoidal functions. (English) Zbl 1311.41015 Acta Math. Sin., Engl. Ser. 29, No. 10, 2013-2026 (2013). MSC: 41A25 41A46 92B20 PDFBibTeX XMLCite \textit{D. S. Yu}, Acta Math. Sin., Engl. Ser. 29, No. 10, 2013--2026 (2013; Zbl 1311.41015) Full Text: DOI
Feng, Guo; Fang, Gensun Bernstein \(n\)-widths for classes of convolution functions with kernels satisfying certain oscillation properties. (English) Zbl 1177.41024 Acta Math. Sin., Engl. Ser. 25, No. 3, 393-402 (2009). MSC: 41A46 41A15 PDFBibTeX XMLCite \textit{G. Feng} and \textit{G. Fang}, Acta Math. Sin., Engl. Ser. 25, No. 3, 393--402 (2009; Zbl 1177.41024) Full Text: DOI
Fang, Gensun; Duan, Liqin Optimal recovery on the classes of functions with bounded mixed derivative. (English) Zbl 1177.41023 Acta Math. Sin., Engl. Ser. 25, No. 2, 279-286 (2009). MSC: 41A46 42A10 42A15 47A58 PDFBibTeX XMLCite \textit{G. Fang} and \textit{L. Duan}, Acta Math. Sin., Engl. Ser. 25, No. 2, 279--286 (2009; Zbl 1177.41023) Full Text: DOI
Wei, Wen Bin; Xu, Yue Sheng; Ye, Pei Xin Adaptive algorithms of nonlinear approximation with finite terms. (English) Zbl 1126.41008 Acta Math. Sin., Engl. Ser. 23, No. 9, 1663-1672 (2007). MSC: 41A25 41A46 PDFBibTeX XMLCite \textit{W. B. Wei} et al., Acta Math. Sin., Engl. Ser. 23, No. 9, 1663--1672 (2007; Zbl 1126.41008) Full Text: DOI
Chen, Di Rong; You, Xu Minimax optimal rates of convergence for multicategory classifications. (English) Zbl 1119.62056 Acta Math. Sin., Engl. Ser. 23, No. 8, 1419-1426 (2007). MSC: 62H30 62G20 62C20 41A46 PDFBibTeX XMLCite \textit{D. R. Chen} and \textit{X. You}, Acta Math. Sin., Engl. Ser. 23, No. 8, 1419--1426 (2007; Zbl 1119.62056) Full Text: DOI
Chen, Guang Gui; Fang, Gen Sun; Ruan, Yuan Long Non-linear approximation of functions with mixed smoothness by sets of finite pseudo-dimension. (English) Zbl 1142.41009 Acta Math. Sin., Engl. Ser. 23, No. 4, 671-676 (2007). Reviewer: Thomas Kühn (Leipzig) MSC: 41A46 41A63 PDFBibTeX XMLCite \textit{G. G. Chen} et al., Acta Math. Sin., Engl. Ser. 23, No. 4, 671--676 (2007; Zbl 1142.41009) Full Text: DOI
Xu, Gui Qiao; Sun, Yong Sheng; Liu, Yong Ping \(N\)-widths and average widths of Besov classes in Sobolev spaces. (English) Zbl 1115.41024 Acta Math. Sin., Engl. Ser. 22, No. 6, 1667-1678 (2006). Reviewer: Yuly Makovoz (Lowell) MSC: 41A46 46E35 PDFBibTeX XMLCite \textit{G. Q. Xu} et al., Acta Math. Sin., Engl. Ser. 22, No. 6, 1667--1678 (2006; Zbl 1115.41024) Full Text: DOI
Yang, Dachun Some applications of Besov spaces on fractals. (English) Zbl 1096.46021 Acta Math. Sin., Engl. Ser. 21, No. 5, 1209-1218 (2005). Reviewer: Hans Triebel (Jena) MSC: 46E35 47G30 41A46 47A75 47B06 PDFBibTeX XMLCite \textit{D. Yang}, Acta Math. Sin., Engl. Ser. 21, No. 5, 1209--1218 (2005; Zbl 1096.46021) Full Text: DOI
Xu, Guiqiao; Liu, Yongping The average widths of Sobolev-Wiener classes and Besov-Wiener classes. (English) Zbl 1121.41029 Acta Math. Sin., Engl. Ser. 20, No. 1, 81-92 (2004). MSC: 41A46 46A35 PDFBibTeX XMLCite \textit{G. Xu} and \textit{Y. Liu}, Acta Math. Sin., Engl. Ser. 20, No. 1, 81--92 (2004; Zbl 1121.41029) Full Text: DOI
Wang, He Ping Average widths fo Sobolev-Wiener classes with mixed smoothness in \(L_q(\mathbb{R}^d)\). (English) Zbl 0993.41014 Acta Math. Sin., Engl. Ser. 17, No. 2, 305-312 (2001). Reviewer: Wolfgang W.Breckner (Cluj-Napoca) MSC: 41A46 46E35 PDFBibTeX XMLCite \textit{H. P. Wang}, Acta Math. Sin., Engl. Ser. 17, No. 2, 305--312 (2001; Zbl 0993.41014) Full Text: DOI