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Strong Inequalities for Hermite-Fejér Interpolations and Characterization of K -Functionals
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-16
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The works of Smale and Zhou (2003, 2007), Cucker and Smale (2002), and Cucker and Zhou (2007) indicate that approximation operators serve as cores of many machine learning algorithms.
In this paper we study the Hermite-Fejér interpolation operator which has this potential of applications.
The interpolation is defined by zeros of the Jacobi polynomials with parameters − 1 < α , β < 0 .
Approximation rate is obtained for continuous functions.
Asymptotic expression of the K -functional associated with the interpolation operators is given.
American Psychological Association (APA)
You, Gongqiang. 2014. Strong Inequalities for Hermite-Fejér Interpolations and Characterization of K -Functionals. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1014760
Modern Language Association (MLA)
You, Gongqiang. Strong Inequalities for Hermite-Fejér Interpolations and Characterization of K -Functionals. Abstract and Applied Analysis No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1014760
American Medical Association (AMA)
You, Gongqiang. Strong Inequalities for Hermite-Fejér Interpolations and Characterization of K -Functionals. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1014760
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014760