Gauss-Turan quadratures of Chebyshev type and error formulae. (English) Zbl 0311.65016
References:
| [1] | Bernstein, S.: Sur les polynomes orthogonaux relatifs à un segment fini. Journal de Math.9, 127–177 (1930). · JFM 56.0947.04 |
| [2] | Cheney, E. W.: Introduction to Approximation Theory. New York: McGraw-Hill. 1966. · Zbl 0161.25202 |
| [3] | Davis, P. J.: Interpolation and Approximation. Waltham, Mass.: Blaisdell. 1963. · Zbl 0111.06003 |
| [4] | Kastlunger, K., Wanner, G.: On Turán type implicit Runge-Kutta methods. Computing9, 317–325 (1972). · Zbl 0258.65078 · doi:10.1007/BF02241605 |
| [5] | Lorentz, G. G.: Approximation of Functions. New York: Holt, Rinehart, and Winston. 1966. |
| [6] | Micchelli, C. A., Rivlin, T. J.: Turán formulae and highest precision quadrature rules for Chebyshev coefficients. IBM J. Res. Develop.16, 372–379 (1972). · Zbl 0288.65013 · doi:10.1147/rd.164.0372 |
| [7] | Rabinowitz, P.: Error bounds in Gaussian integration of functions of low-order continuity. Math. Comp.22, 431–434 (1968). · Zbl 0181.17802 · doi:10.1090/S0025-5718-1968-0226861-7 |
| [8] | Stroud, A. H., Stancu, D. D.: Quadrature formulas with multiple Gaussian nodes. J. SIAM Numer. Anal.B 2, 129–143 (1965). · Zbl 0141.13803 |
| [9] | Turán, P.: On the theory of the mechanical quadrature. Acta Sci. Math.12A, 30–37 (1950). |
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