Paper Title:
Optimal Recovery for Some Infinitely Differentiable Periodic Functions
  Abstract

We determine the optimal convergence rate of Dirichlet interpolating algorithm. Asymptotic inequalities are found for the upper bounds of approximation by trigonometric interpolation on the classes of convolutions of periodic functions admitting regular. The optimal order of m-th minimum linear intrinsic error is determined. By means of previous results about n-widths, we discuss the optimality of interpolation method.

  Info
Periodical
Advanced Materials Research (Volumes 282-283)
Chapter
Chapter2: Material Science, Environment Science and Engineering
Edited by
Helen Zhang and David Jin
Pages
240-243
DOI
10.4028/www.scientific.net/AMR.282-283.240
Citation
P. X. Ye, X. H. Li, "Optimal Recovery for Some Infinitely Differentiable Periodic Functions", Advanced Materials Research, Vols. 282-283, pp. 240-243, 2011
Online since
July 2011
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Price
$32.00
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