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

Colloquium Mathematicae (1998)

- Volume: 75, Issue: 1, page 1-5
- ISSN: 0010-1354

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topZhou, S.. "On approximation by Lagrange interpolating polynomials for a subset of the space of continuous functions." Colloquium Mathematicae 75.1 (1998): 1-5. <http://eudml.org/doc/210526>.

@article{Zhou1998,

abstract = {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.},

author = {Zhou, S.},

journal = {Colloquium Mathematicae},

keywords = {interpolation; Lagrange interpolating operators; extremal points; Chebyshev polynomials; rate of convergence},

language = {eng},

number = {1},

pages = {1-5},

title = {On approximation by Lagrange interpolating polynomials for a subset of the space of continuous functions},

url = {http://eudml.org/doc/210526},

volume = {75},

year = {1998},

}

TY - JOUR

AU - Zhou, S.

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

JO - Colloquium Mathematicae

PY - 1998

VL - 75

IS - 1

SP - 1

EP - 5

AB - 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.

LA - eng

KW - interpolation; Lagrange interpolating operators; extremal points; Chebyshev polynomials; rate of convergence

UR - http://eudml.org/doc/210526

ER -

## References

top- [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. Zbl0837.41003
- [Li] X. Li, On the Lagrange interpolation for a subset of C^k functions, Constr. Approx. 11 (1995), 287-297. Zbl0830.41001

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