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ONE-SIDED N-WIDTHS OF SOME CLASSES OF PERIODIC FUNCTIONS

ONE-SIDED N-WIDTHS OF SOME CLASSES OF PERIODIC FUNCTIONS
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摘要 In this paper,we determine the exact estimation of one-sided n-widths d_n^+(w_q^r(p_r),L_1).q=1,∝, where W_q^r(P_r)is a class of differentiable 2π-periodic functions,and is determined by a differential opera- tor P_r(D)=D~σ∏_(j=t)~l(D-α_j),σ,j∈N,σ≥2,x_j≠0,x_j∈R. In this paper,we determine the exact estimation of one-sided n-widths d_n^+(w_q^r(p_r),L_1).q=1,∝, where W_q^r(P_r)is a class of differentiable 2π-periodic functions,and is determined by a differential opera- tor P_r(D)=D~σ∏_(j=t)~l(D-α_j),σ,j∈N,σ≥2,x_j≠0,x_j∈R.
出处 《Analysis in Theory and Applications》 1993年第4期21-36,共16页 分析理论与应用(英文刊)
基金 Supported by Natural Science Foudatioin of China.
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