RateofConvergenceofHermite-Fej´erPolynomialsfor Functions with Derivatives of Bounded Variation

  • Abedallah Rababah Jordan University of Science and Technology
Keywords: Interpolation, Approximation by Polynomials, Hermite-Fejer Approximation

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.

 

 

Author Biography

Abedallah Rababah, Jordan University of Science and Technology

Professor of Mathematics

 

Published
2020-03-25
How to Cite
Rababah, A. (2020). RateofConvergenceofHermite-Fej´erPolynomialsfor Functions with Derivatives of Bounded Variation. Tamkang Journal of Mathematics, 51(1). https://doi.org/10.5556/j.tkjm.51.2020.2939
Section
Papers