Open AccessRateofConvergenceofHermite-Fej´erPolynomialsfor Functions with Derivatives of Bounded Variation
Author(s) -
Abedallah Rababah
Publication year - 2020
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.51.2020.2939
Subject(s) - mathematics , chebyshev polynomials , bounded variation , interpolation (computer graphics) , chebyshev nodes , chebyshev filter , convergence (economics) , bounded function , mathematical analysis , hermite polynomials , chebyshev equation , pure mathematics , orthogonal polynomials , classical orthogonal polynomials , animation , computer graphics (images) , computer science , economics , economic growth
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.