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One-sided N-widths of some classes of periodic functions

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Approximation Theory and its Applications

Abstract

In this paper, we determine the exact estimation of one-sided n-widths

$$ d_n^ + (W_q^r (P_r )_s L_1 ). q = 1, \infty , $$

where W rq (Pr) is a class of differentiable 2π-periodic functions, and is determined by a differential operator \( \operatorname{P} _r (D) = D^\sigma \prod\nolimits_l^l {(D - \alpha _i ), \sigma ,l \in N, \sigma \geqslant 2, \alpha _i \in } R \).

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Authors and Affiliations

  1. Department of Mathematics, Beijing Normal University, 100875, Beijing, PRC

    Fang Gensun & Zhang Jianhua

Authors
  1. Fang Gensun
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  2. Zhang Jianhua
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Supported by Natural Science Foudation of China.

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Gensun, F., Jianhua, Z. One-sided N-widths of some classes of periodic functions. Approx. Theory & its Appl. 9, 21–36 (1993). https://doi.org/10.1007/BF02836247

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  • DOI: https://doi.org/10.1007/BF02836247

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