On approximation by Lagrange interpolating polynomials for a subset of the space of continuous functions

• Autorzy: S. P. Zhou
• Języki publikacji: EN

Abstrakty

EN

We construct a $C^k$ piecewise differentiable function that is not $C^k$ piecewise analytic and satisfies a Jackson type estimate for approximation by Lagrange interpolating polynomials associated with the extremal points of the Chebyshev polynomials.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1998
• Tom: 75
• Numer: 1
• Strony: 1-5

Daty

wydano

1998

otrzymano

1996-12-11

Twórcy

autor

S. P. Zhou

• Department of Mathematics, Hangzhou University, Hangzhou, Zhejiang 310028 China

Bibliografia

• [MS] G. Mastroianni and J. Szabados, Jackson order of approximation by Lagrange interpolation, in: Proc. Second Internat. Conf. in Functional Analysis and Approximation Theory (Aquafredda di Maratea, 1992), Rend. Circ. Mat. Palermo (2) Suppl. 1993, no. 33, 375-386.
• [Li] X. Li, On the Lagrange interpolation for a subset of C^k functions, Constr. Approx. 11 (1995), 287-297.