Rate of convergence of Hermite-Fejér polynomials for functionswith derivatives of bounded variation

Abedallah Rababah; Shahnaz Abo Gazla

doi:10.5556/j.tkjm.51.2020.2939

Rate of convergence of Hermite-Fejér polynomials for functionswith derivatives of bounded variation

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, the behavior of the Hermite-Fejér interpolation for functions with derivatives of bounded variation on [-1,1] is studied by taking the interpolation over the zeros of Chebyshev polynomials of the second kind. An estimate for the rate of convergence using the zeros of the Chebyshev polynomials of the second kind is given.

Original language	English
Pages (from-to)	21-30
Number of pages	10
Journal	Tamkang Journal of Mathematics
Volume	51
Issue number	1
DOIs	https://doi.org/10.5556/j.tkjm.51.2020.2939
Publication status	Published - Mar 2020
Externally published	Yes

Keywords

Chebyshev polynomials of second kind
Hermite-Fejér interpolation
rate of convergence

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.5556/j.tkjm.51.2020.2939

Cite this

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title = "Rate of convergence of Hermite-Fej{\'e}r polynomials for functionswith derivatives of bounded variation",

abstract = "In this paper, the behavior of the Hermite-Fej{\'e}r interpolation for functions with derivatives of bounded variation on [-1,1] is studied by taking the interpolation over the zeros of Chebyshev polynomials of the second kind. An estimate for the rate of convergence using the zeros of the Chebyshev polynomials of the second kind is given.",

keywords = "Chebyshev polynomials of second kind, Hermite-Fej{\'e}r interpolation, rate of convergence",

author = "Abedallah Rababah and Gazla, {Shahnaz Abo}",

note = "Funding Information: The authors thank the reviewers for invaluable comments to improve this paper. research is funded by Jordan University of Science and Technology. Publisher Copyright: {\textcopyright} 2020 Tamkang University. All rights reserved.",

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AU - Gazla, Shahnaz Abo

N1 - Funding Information: The authors thank the reviewers for invaluable comments to improve this paper. research is funded by Jordan University of Science and Technology. Publisher Copyright: © 2020 Tamkang University. All rights reserved.

PY - 2020/3

Y1 - 2020/3

N2 - In this paper, the behavior of the Hermite-Fejér interpolation for functions with derivatives of bounded variation on [-1,1] is studied by taking the interpolation over the zeros of Chebyshev polynomials of the second kind. An estimate for the rate of convergence using the zeros of the Chebyshev polynomials of the second kind is given.

AB - In this paper, the behavior of the Hermite-Fejér interpolation for functions with derivatives of bounded variation on [-1,1] is studied by taking the interpolation over the zeros of Chebyshev polynomials of the second kind. An estimate for the rate of convergence using the zeros of the Chebyshev polynomials of the second kind is given.

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KW - Hermite-Fejér interpolation

KW - rate of convergence

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Rate of convergence of Hermite-Fejér polynomials for functionswith derivatives of bounded variation

Abstract

Keywords

ASJC Scopus subject areas

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