Optimal Recovery of Functions of the Class Hp,p (1≤ p ≤ ∞) in the Unit Circle

M. P. Ovchintsev

doi:10.4028/www.scientific.net/AMR.945-949.2471

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 945-949Optimal Recovery of Functions of the Class Hp,p...

Optimal Recovery of Functions of the Class H_p,p (1≤ p ≤ ∞) in the Unit Circle

Abstract:

In the below work the problem of optimal recovery of functions in Hardy class is covered. Namely, by the values of these functions in a finite number of points lying in the unit circle determined their value at a given point. Coefficients of the linear best approximation method and error of the best method are calculated. The functions are considered with some given weight function.

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Periodical:

Advanced Materials Research (Volumes 945-949)

Pages:

2471-2473

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.945-949.2471

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Online since:

June 2014

Authors:

M. P. Ovchintsev

Keywords:

Error of the Best Method, Linear Best Method, Optimal Recovery

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References

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