Bibliography for Chebyshev Approximation Polynomial

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  1. Chebyshev's Approximation Algorithms and Applications
    Hernandez, M. A.
    Computers and Mathematics With Applications, 2001, vol. 41, no. ER3-4, pp. 433-445, Ingenta.
  2. A Compact Chebyshev Approximation of High-Precision Nutation theory of the Earth.
    Trubitsina, A.A.
    Astronomy reports., 1995, vol. 39, no. 5, pp. 690, Ingenta.
  3. On the Distribution of Extremal Points of General Chebyshev Polynomials  
    Andras Kroo, Franz Peherstorfer  
    Transactions of the American Mathematical Society, Vol. 329, No. 1. (Jan., 1992), pp. 117-130, Jstor.  
  4. An Algorithm Based on the FFT for a Generalized Chebyshev Interpolation  
    Takemitsu Hasegawa, Tatsuo Torii, Hiroshi Sugiura  
    Mathematics of Computation, Vol. 54, No. 189. (Jan., 1990), pp. 195-210, Jstor.  
  5. Newton Interpolation in Fejer and Chebyshev Points  
    Bernd Fischer, Lothar Reichel  
    Mathematics of Computation, Vol. 53, No. 187. (Jul., 1989), pp. 265-278, Jstor.  
  6. A Unified Theory for Real Vs. Complex Rational Chebyshev Approximation on an Interval  
    Arden Ruttan, Richard S. Varga  
    Transactions of the American Mathematical Society, Vol. 312, No. 2. (Apr., 1989), pp. 681-697, Jstor.  
  7. A Fast Algorithm for Linear Complex Chebyshev Approximations  
    Ping Tak Peter Tang  
    Mathematics of Computation, Vol. 51, No. 184. (Oct., 1988), pp. 721-739, Jstor.  
  8. On Asymptotics for the Uniform Norms of the Lagrange Interpolation Polynomials Corresponding to Extended Chebyshev Nodes  
    R. Gunttner  
    SIAM Journal on Numerical Analysis, Vol. 25, No. 2. (Apr., 1988), pp. 461-469, Jstor.
  9. A Comparison of Some Taylor and Chebyshev Series  
    R. E. Scraton  
    Mathematics of Computation, Vol. 50, No. 181. (Jan., 1988), pp. 207-213, Jstor.
  10. An Algorithm for Computing Continuous Chebyshev Approximations  
    Zhongqi Jing, Adly T. Fam  
    Mathematics of Computation, Vol. 48, No. 178. (Apr., 1987), pp. 691-710, Jstor.  
  11. Chebyshev Rank in L1-Approximation  
    Andras Kroo  
    Transactions of the American Mathematical Society, Vol. 296, No. 1. (Jul., 1986), pp. 301-313, Jstor.  
  12. Discrete Chebyshev Approximation with Linear Constraints  
    Michael Brannigan  
    SIAM Journal on Numerical Analysis, Vol. 22, No. 1. (Feb., 1985), pp. 1-15, Jstor.  
  13. Tables for Lagrangian interpolation using Chebyshev points.
    Salzer, Herbert E.; Levine, Norman; Serben, Saul
    Applied Science Publications, Inc., New York, 1984. i+323 pp. ISBN: 0-915061-00-7, MathSciNet.
  14. Approximation by Polynomials: Interpolation and Optimal Nodes (in Progress Reports)  
    Myron S. Henry  
    American Mathematical Monthly, Vol. 91, No. 8. (Oct., 1984), pp. 497-499, Jstor.
  15. Another Look at the Chebyshev Polynomials  
    E. L. Ortiz, T. J. Rivlin  
    American Mathematical Monthly, Vol. 90, No. 1. (Jan., 1983), pp. 3-10, Jstor.
  16. On the Strong Unicity of Best Chebyshev Approximation of Differentiable Functions  
    Andras Kroo  
    Proceedings of the American Mathematical Society, Vol. 89, No. 4. (Dec., 1983), pp. 611-617, Jstor.  
  17. Remez algorithm for Chebyshev approximation with interpolation.
    Dunham, C. B.
    Computing 28 (1982), no. 1, 75--78, MathSciNet.
  18. Complex Chebyshev Polynomials on Circular Sectors with Degree Six or Less  
    U. Grothkopf, G. Opfer  
    Mathematics of Computation, Vol. 39, No. 160. (Oct., 1982), pp. 599-615, Jstor.  
  19. Rate of Convergence of Discretization in Chebyshev Approximation  
    C. B. Dunham, Jack Williams  
    Mathematics of Computation, Vol. 37, No. 155. (Jul., 1981), pp. 135-139, Jstor.  
  20. A New Method for Chebyshev Approximation of Complex-Valued Functions  
    K. Glashoff, K. Roleff  
    Mathematics of Computation, Vol. 36, No. 153. (Jan., 1981), pp. 233-239, Jstor.  
  21. The Rate of Convergence of Discretization in Chebyshev Approximation on Rectangular Sets  
    Charles B. Dunham  
    SIAM Journal on Numerical Analysis, Vol. 17, No. 5. (Oct., 1980), pp. 635-638, Jstor.  
  22. Linear Chebyshev Approximation of Complex-Valued Functions  
    I. Barrodale, L. M. Delves, J. C. Mason  
    Mathematics of Computation, Vol. 32, No. 143. (Jul., 1978), pp. 853-863, Jstor.  
  23. Converting Interpolation Series into Chebyshev Series by Recurrence Formulas  
    Herbert E. Salzer  
    Mathematics of Computation, Vol. 30, No. 134. (Apr., 1976), pp. 295-302, Jstor.  
  24. Best Chebyshev Composite Approximation  
    J. A. Brown, M. S. Henry  
    SIAM Journal on Numerical Analysis, Vol. 12, No. 3. (Jun., 1975), pp. 336-344, Jstor.  
  25. A Multiple Exchange Algorithm for Multivariate Chebyshev Approximation  
    G. A. Watson  
    SIAM Journal on Numerical Analysis, Vol. 12, No. 1. (Mar., 1975), pp. 46-52, Jstor.  
  26. Multi-Dimensional Extensions of the Chebyshev Polynomials  
    Richard O. Hays  
    Mathematics of Computation, Vol. 27, No. 123. (Jul., 1973), pp. 621-624, Jstor.  
  27. On Double Chebyshev Series Approximation  
    N. K. Basu  
    SIAM Journal on Numerical Analysis, Vol. 10, No. 3. (Jun., 1973), pp. 496-505, Jstor.  
  28. Alternating Chebyshev Approximation  
    Charles B. Dunham  
    Transactions of the American Mathematical Society, Vol. 178. (Apr., 1973), pp. 95-109, Jstor.  
  29. Numerical Chebyshev Approximation by Interpolating Rationals  
    Jack Williams  
    Mathematics of Computation, Vol. 26, No. 117. (Jan., 1972), pp. 199-206, Jstor.  
  30. On the Gaussian Integration of Chebyshev Polynomials  
    A. R. Curtis, P. Rabinowitz  
    Mathematics of Computation, Vol. 26, No. 117. (Jan., 1972), pp. 207-211, Jstor.  
  31. Best Approximation with Chebyshev Polynomials  
    V. N. Murty  
    SIAM Journal on Numerical Analysis, Vol. 8, No. 4. (Dec., 1971), pp. 717-721, Jstor.  
  32. Note on a Truncated Chebyshev Series Modified to Match Function Values at Interval Endpoints  
    Edgar A. Cohen, Jr.  
    SIAM Journal on Numerical Analysis, Vol. 8, No. 4. (Dec., 1971), pp. 754-756, Jstor.  
  33. On the Location of the Deviation Points in Chebyshev Approximation by Polynomials  
    John H. Rowland  
    SIAM Journal on Numerical Analysis, Vol. 6, No. 1. (Mar., 1969), pp. 118-126, Jstor.  
  34. Uniform Approximation by Chebyshev Spline Functions. II: Free Knots  
    Larry Schumaker  
    SIAM Journal on Numerical Analysis, Vol. 5, No. 4. (Dec., 1968), pp. 647-656, Jstor.  
  35. Iterative Construction of Constrained Chebyshev Approximation of Continuous Functions  
    R. C. Jones, L. A. Karlovitz  
    SIAM Journal on Numerical Analysis, Vol. 5, No. 3. (Sep., 1968), pp. 574-585, Jstor.  
  36. Simultaneous Chebyshev Approximation of Functions on an Interval  
    Charles B. Dunham  
    Proceedings of the American Mathematical Society, Vol. 18, No. 3. (Jun., 1967), pp. 472-477, Jstor.  
  37. Characterization of Chebyshev Approximations by Splines  
    John R. Rice  
    SIAM Journal on Numerical Analysis, Vol. 4, No. 4. (Dec., 1967), pp. 557-565, Jstor.  
  38. Application of Numerical Maximization and Minimization Techniques to Chebyshev Approximation  
    David G. Moursund  
    SIAM Review, Vol. 9, No. 1. (Jan., 1967), pp. 100-106, Jstor.  
  39. The Chebyshev Polynomial of Best Approximation to a Given Function on an Interval  
    O. Shisha  
    Mathematics of Computation, Vol. 20, No. 94. (Apr., 1966), pp. 266-271, Jstor.  
  40. On the Convergence of the Chebyshev Series for Functions Possessing a Singularity in the Range of Representation  
    G. F. Miller  
    SIAM Journal on Numerical Analysis, Vol. 3, No. 3. (Sep., 1966), pp. 390-409, Jstor.  
  41. Some Estimates of the Coefficients in the Chebyshev Series Expansion of a Function  
    David Elliott, George Szekeres  
    Mathematics of Computation, Vol. 19, No. 89. (Apr., 1965), pp. 25-32, Jstor.  
  42. Truncation Errors in Two Chebyshev Series Approximations  
    David Elliott  
    Mathematics of Computation, Vol. 19, No. 90. (Apr., 1965), pp. 234-248, Jstor.  
  43. Chebyshev Approximations of a Function and Its Derivatives  
    D. G. Moursund  
    Mathematics of Computation, Vol. 18, No. 87. (Jul., 1964), pp. 382-389, Jstor.  
  44. The Evaluation and Estimation of the Coefficients in the Chebyshev Series Expansion of a Function  
    David Elliott  
    Mathematics of Computation, Vol. 18, No. 86. (Apr., 1964), pp. 274-284, Jstor.  
  45. Exapansions of Dawson's Function in a Series of Chebyshev Polynomials (in Technical Notes and Short Papers)  
    David G. Hummer  
    Mathematics of Computation, Vol. 18, No. 86. (Apr., 1964), pp. 317-319, Jstor.  
  46. A Comparison of "Best" Polynomial Approximations with Truncated Chebyshev Series Expansions  
    C. W. Clenshaw  
    Journal of the Society for Industrial and Applied Mathematics: Series B, Numerical Analysis, Vol. 1. (1964), pp. 26-37, Jstor.  
  47. Approximations in Lp and Chebyshev Approximations  
    Jean Descloux  
    Journal of the Society for Industrial and Applied Mathematics, Vol. 11, No. 4. (Dec., 1963), pp. 1017-1026, Jstor.  
  48. Chebyshev Approximation by Exponentials  
    John R. Rice  
    Journal of the Society for Industrial and Applied Mathematics, Vol. 10, No. 1. (Mar., 1962), pp. 149-161, Jstor.  
  49. Algorithms for Chebyshev Approximation by  a b^x + c  
    John R. Rice
    Journal of the Society for Industrial and Applied Mathematics, Vol. 9, No. 4. (Dec., 1961), pp. 571-583, Jstor.  
  50. Expansion of Spherical Bessel Functions in a Series of Chebyshev Polynomials  
    A. M. Arthurs, R. McCarroll  
    Mathematics of Computation, Vol. 15, No. 74. (Apr., 1961), pp. 159-162, Jstor.  
  51. Algorithms for Chebyshev Approximations Using the Ratio of Linear Forms  
    Henry L. Loeb  
    Journal of the Society for Industrial and Applied Mathematics, Vol. 8, No. 3. (Sep., 1960), pp. 458-465, Jstor.  
  52. Chebyshev Approximation by a b^x + c  
    John R. Rice
    Journal of the Society for Industrial and Applied Mathematics, Vol. 8, No. 4. (Dec., 1960), pp. 691-702, Jstor.  
  53. The Determination of the Chebyshev Approximating Polynomial for a Differentiable Function  
    F. D. Murnaghan, J. W. Wrench, Jr.  
    Mathematical Tables and Other Aids to Computation, Vol. 13, No. 67. (Jul., 1959), pp. 185-193, Jstor.  
  54. A Modified Chebyshev-Everett Interpolation Formula  
    G. A. Chisnall  
    Mathematical Tables and Other Aids to Computation, Vol. 10, No. 54. (Apr., 1956), pp. 66-73, Jstor.  
  55. On the Derivative of a Polynomial and Chebyshev Approximation  
    T. S. Motzkin, J. L. Walsh  
    Proceedings of the American Mathematical Society, Vol. 4, No. 1. (Feb., 1953), pp. 76-87, Jstor.  

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2003