A note on Hermite-Fejér interpolation for the unit circle

DOI10.1016/S0893-9659(01)00078-7zbMath0982.41003MaRDI QIDQ5950678

Leyla Daruis, Pablo González-Vera

Publication date: 2 January 2002

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

Laurent polynomialsIyengar-type inequalitysecond-order derivativesmidpoint of interval

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by polynomials (41A10) Polynomials and rational functions of one complex variable (30C10)

Related Items (15)

Gibbs phenomenon in the Hermite interpolation on the circle ⋮ Rate of convergence of Hermite-Fejér interpolation on the unit circle ⋮ A note on the rate of convergence for Chebyshev-Lobatto and Radau systems ⋮ An extension of Fejér's condition for Hermite interpolation ⋮ Algorithms for solving Hermite interpolation problems using the fast Fourier transform ⋮ About measures and nodal systems for which the Hermite interpolants uniformly converge to continuous functions on the circle and interval ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Hermite interpolation on the unit circle considering up to the second derivative ⋮ Algorithms and convergence for Hermite interpolation based on extended Chebyshev nodal systems ⋮ An interpolation problem on the circle between Lagrange and Hermite problems ⋮ Unnamed Item ⋮ Some improvements to the Hermite-Fejér interpolation on the circle and bounded interval ⋮ Foreword to the proceedings of the OrthoQuad 2014 conference ⋮ Convergence of Hermite interpolants on the circle using two derivatives

Cites Work

• A survey on mean convergence of interpolatory processes
• Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
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