Interpolation polynomials which give best order of approximation among continuously differentiable functions of arbitrary fixed order on

Author:
A. K. Varma

Journal:
Trans. Amer. Math. Soc. **200** (1974), 419-426

MSC:
Primary 41A05

DOI:
https://doi.org/10.1090/S0002-9947-1974-0369999-5

MathSciNet review:
0369999

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Abstract: The object of this paper is to show that there exists a polynomial of degree which interpolates a given function exactly at the zeros of th Tchebycheff polynomial and for which where is the modulus of continuity of of th order.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1974-0369999-5

Keywords:
Polynomial approximation,
modulus of continuity,
Hermite interpolation,
typical means,
Tchebycheff nodes

Article copyright:
© Copyright 1974
American Mathematical Society