Abstract
In this note a new generalized version of the classical Landau-Kolmogorov and Stein inequalities is established on a convolution class of periodic functions with a NCVD kernel. On this basis some sets of optimal subspaces for the 2n-dimensional Kolgmogorov width of such function class are identified.
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In Memory of Professor M. T. Cheng
Project supported by NSFC (19671012)
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Yongsheng, S. Some remarks on the optimal subspaces of a convolution class with a NCVD kernel. Approx. Theory & its Appl. 15, 1–5 (1999). https://doi.org/10.1007/BF02848664
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DOI: https://doi.org/10.1007/BF02848664