Optimal Recovery for Some Infinitely Differentiable Periodic Functions

Pei Xin Ye; Xue Hua Li

doi:10.4028/www.scientific.net/AMR.282-283.240

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 282-283Optimal Recovery for Some Infinitely...

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.

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Periodical:

Advanced Materials Research (Volumes 282-283)

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240-243

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.282-283.240

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Online since:

July 2011

Authors:

Pei Xin Ye, Xue Hua Li

Keywords:

Dirichlet Interpolating Algorithm, Infinitely Differentiable Classes, m-th Minimum Linear Error, Optimal Recovery

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