On n-K Width of Certain Function Classes Defined by Linear Op erators in L2 Space |
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| Institution: | Department of Mathematics, Inner Mongolia Normal University, Huhhote 010022, China |
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| Abstract: | Let M(u) be an N-function, L_r(f, x) and K_r(f, x) are Bak operator and Kantorovich operator, W_M(L_r(f)) and W_M(K_r(f)) are the Sobolev-Orlicz classes defined by L_r(f, x), K_r(f, x) and M(u). In this paper we give the asymptotic estimates of the n-K widths d_n(W_M(L_r(f)), L_20, 1]) and d_n(W_M(K_r(f)), L_20, 1]). |
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| Keywords: | linear operator Sobolev-Orlicz class width |
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