The weighted (0,1,…,m−2,m)-interpolation technique based on the roots of the classical orthogonal polynomials and application in deriving new quadrature rules

Author:

Aryanmehr S.,Dehghan Mehdi,Eslahchi M. R.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference21 articles.

1. M. Abramowitz, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Table, National Bureau of Standards (1964).

2. J. Balázs, Weighted (0,2) interpolation on the roots of ultraspherical polynomials, MTA III. Oszt. Közl., 11 (1961), 305–338 (in Hungarian).

3. G. D. Birkhoff, General mean value and remainder theorems with applications to mechanical differentiation and quadrature, Trans. Amer. Math. Soc., 7 (1906), 107–136.

4. P. J. Davis, Interpolation and Approximation, 2nd ed., Dover (New York, 1975).

5. R. Davis and P. Rabinowitz, Methods of Numerical Integration, 2nd ed., Academic Press (New York, 1984).

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