RateofConvergenceofHermite-Fej´erPolynomialsfor Functions with Derivatives of Bounded Variation
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Published:2020-03-25
Issue:1
Volume:51
Page:
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ISSN:2073-9826
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Container-title:Tamkang Journal of Mathematics
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language:
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Short-container-title:Tamkang J. Math.
Author:
Rababah Abedallah
Abstract
In this paper, the behavior of the Hermite-Fej´er interpolation for functionswithderivativesofboundedvariationon[−1,1]isstudiedbytakingtheinterpolation 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.
Publisher
Tamkang Journal of Mathematics
Subject
Applied Mathematics,General Mathematics