Bibliography for Orthogonal Polynomials

unabridged

 

  1. On Approximation Methods by Using Orthogonal Polynomial Expansions
    Lasser, R.; Mache, D. H.; Obermaier, J.
    International Series of Numerical Mathematics, 2003, no. 142, pp. 95-108, Ingenta.
  2. Quadrature formulae connected to orthogonal polynomials
    Milovanovic, Gradimir V.; Spalevic, Miodrag M.  
    Journal of Computational and Applied Mathematics, v 140, n 1-2, Mar 1, 2002, p 619-637, Compendex.
  3. Orthogonal matrix polynomials and quadrature formulas
    Duran, Antonio J.; Defez, Emilio  
    Linear Algebra and Its Applications, v 345, n 1-3, Apr 15, 2002, p 71-84, Compendex.
  4. Orthogonal polynomial solutions of linear ordinary differential equations
    Everitt, W.N.; Kwon, K.H.; Littlejohn, L.L.; Wellman, R.  
    Journal of Computational and Applied Mathematics, v 133, n 1-2, Aug 1, 2001, p 85-109, Compendex.
  5. A New Suboptimal Multiuser Detector based on Orthogonal Polynomial Approximation
    Roh, J.; Choi, S.; Ko, K.; Hong, D.; Kang, C.
    IEEE Vehicular Technology Conference, 2001, no. CONF54, pp. 863-867, Ingenta.
  6. Orthogonal polynomials, Gaussian quadrature and eigenvalue problems. (Spanish)
    Martínez, José-Javier
    Margarita mathematica, 595--606, Univ. La Rioja, Logroño, 2001, MathSciNet.  
  7. Conservative approximation associated with systems of orthogonal polynomials. (Spanish)
    Molina-Tébar, A.; Muñoz-Delgado, F. J.
    Proceedings of the Meeting of Andalusian Mathematicians, Vol. II (Spanish) (Sevilla, 2000), 655--662, Colecc. Abierta, 52, Univ. Sevilla Secr. Publ., Seville, 2001, MathSciNet.  
  8. Entropic integrals of orthogonal hypergeometric polynomials with general supports
    Sanchez-Ruiz, Jorge; Dehesa, Jesus S.  
    Journal of Computational and Applied Mathematics, v 118, n 1-2, Jun, 2000, p 311-322, Compendex.
  9. The orthogonal polynomials and the Padé approximation.
    Ahmad, Faiz
    Chinese translation in Appl. Math. Mech. 19 (1998), no. 7, 619--623. Appl. Math. Mech. (English Ed.) 19 (1998), no. 7, 663--668, MathSciNet.  
  10. Orthogonal polynomials and Pade approximation
    Ahmad, Faiz   
    Journal of Shanghai University, v 2, n 2, Jun, 1998, p 108-111, Compendex.
  11. Classification of power quality disturbances using orthogonal polynomial approximation and bispectra.
    Lee, J. S.; Lee, C. H.; Nam, S. W.
    Electronics letters, 1997, vol. 33, no. 18, pp. 1522, Ingenta.
  12. Two-dimensional refinement scheme of direction-based interpolation with discrete orthogonal polynomial decomposition
    Gao, Qinghuai; Yin, Fang-Fang  
    Proceedings of SPIE - The International Society for Optical Engineering, v 3031, 1997, p 12-18, Compendex.
  13. Orthogonal polynomials in two variables and second-order partial differential equations
    Kim, Y.J.; Kwon, K.H.; Lee, J.K.  
    Journal of Computational and Applied Mathematics, v 82, n 1-2, Sep 15, 1997, p 239-260, Compendex.
  14. Algorithm AS 297: Orthogonal Polynomial and Hybrid Estimators for Nonparametric Regression (in Statistical Algorithms)  
    A. S. Azari; H. G. Muller  
    Applied Statistics, Vol. 44, No. 2. (1995), pp. 264-268, Jstor.  
  15. Interlacing properties of the zeros of the orthogonal polynomials and approximation of the Hilbert transform
    Mastroianni, G.; Occorsio, D.  
    Computers & Mathematics with Applications, v 30, n 3-6, Sep, 1995, p 155, Compendex.
  16. Vector orthogonal polynomials and least squares approximation.
    Bultheel, Adhemar; Van Barel, Marc
    SIAM J. Matrix Anal. Appl. 16 (1995), no. 3, 863--885, MathSciNet.  
  17. Orthogonal polynomials in approximation theory and stability of difference schemes for ordinary differential equations
    Pospelov, V.V.  
    Vestnik Moskovskogo Universiteta, Seriya 1 (Matematika Mekhanika), n 6, 1995, p 72-77, Compendex.
  18. Quasi-orthogonal polynomials, quadrature, and interpolation.
    Xu, Yuan
    J. Math. Anal. Appl. 182 (1994), no. 3, 779--799, MathSciNet.  
  19. Boundary characteristic orthogonal polynomials in numerical approximation
    Singh, B.; Chakraverty, S.  
    Communications in Numerical Methods in Engineering, v 10, n 12, Dec, 1994, p 1027, Compendex.
  20. Sieved Orthogonal Polynomials. VII: Generalized Polynomial Mappings  
    Jairo A. Charris; Mourad E. H. Ismail  
    Transactions of the American Mathematical Society, Vol. 340, No. 1. (Nov., 1993), pp. 71-93, Jstor.  
  21. Least-squares orthogonal polynomial approximation in several independent variables.
    Caprari, R.S.
    Computers in physics, 1993, vol. 7, no. 3, pp. 336, Ingenta.
  22. Orthogonal polynomials and conservative approximation
    Delgado, Munoz F.J.; Gonzalez, Ramfrez V.  
    Journal of Computational and Applied Mathematics, v 49, n 1-3, Dec 31, 1993, p 217, Compendex.
  23. Derivation of operational matrices of differentiation for orthogonal polynomials
    Bolek, Wiktor  
    Automatica, v 29, n 6, Nov, 1993, p 1607-1609, Compendex.
  24. Preaveraged Localized Orthogonal Polynomial Estimators for Surface Smoothing and Partial Differentiation (in Theory and Methods)  
    A. S. Azari; Hans-Georg Muller  
    Journal of the American Statistical Association, Vol. 87, No. 420. (Dec., 1992), pp. 1005-1017, Jstor.  
  25. Orthogonal Expansions and the Error of Weighted Polynomial Approximation for Erdos Weights.
    Lubinsky, D. S.; Mthembu, T. Z.
    Numerical functional analysis and optimization, 1992, vol. 13, no. 3/4, pp. 327, Ingenta.
  26. Bivariate orthogonal polynomial approximation to curves of data.
    Bennell, R. P.; Mason, J. C.
    Orthogonal polynomials and their applications (Erice, 1990), 177--183, IMACS Ann. Comput. Appl. Math., 9, Baltzer, Basel, 1991, MathSciNet.  
  27. Linear Combinations of Orthogonal Polynomials Generating Positive Quadrature Formulas  
    Franz Peherstorfer  
    Mathematics of Computation, Vol. 55, No. 191. (Jul., 1990), pp. 231-241, Jstor.  
  28. A Fast Algorithm for Rational Interpolation Via Orthogonal Polynomials  
    Omer Egecioglu; Cetin K. Koc  
    Mathematics of Computation, Vol. 53, No. 187. (Jul., 1989), pp. 249-264, Jstor.  
  29. Orthogonal Polynomials on Several Intervals Via a Polynomial Mapping  
    J. S. Geronimo; W. van Assche  
    Transactions of the American Mathematical Society, Vol. 308, No. 2. (Aug., 1988), pp. 559-581, Jstor.  
  30. The Lp minimality and near-minimality of orthogonal polynomial approximation and integration methods.
    Mason, J. C.
    Orthogonal polynomials and their applications (Segovia, 1986), 291--299, Lecture Notes in Math., 1329, Springer, Berlin, 1988, MathSciNet.  
  31. Orthogonal Polynomials on the Hexagon  
    Charles F. Dunkl  
    SIAM Journal on Applied Mathematics, Vol. 47, No. 2. (Apr., 1987), pp. 343-351, Jstor.  
  32. Approximation Results for Orthogonal Polynomials in Sobolev Spaces  
    C. Canuto; A. Quarteroni  
    Mathematics of Computation, Vol. 38, No. 157. (Jan., 1982), pp. 67-86, Jstor.  
  33. On Some Orthogonal Polynomial Integrals  
    Luigi Gatteschi  
    Mathematics of Computation, Vol. 35, No. 152. (Oct., 1980), pp. 1291-1298, Jstor.  
  34. Estimating the Kernels of Nonlinear Orthogonal Polynomial Functionals (in Short Communications)  
    Benjamin Kimelfeld  
    The Annals of Statistics, Vol. 2, No. 2. (Mar., 1974), pp. 353-358, Jstor.  
  35. Orthogonal Polynomials and Approximate Multiple Integration  
    Richard Franke  
    SIAM Journal on Numerical Analysis, Vol. 8, No. 4. (Dec., 1971), pp. 757-766, Jstor.  
  36. A Method for the Approximation of Functions Defined by Formal Series Expansions in Orthogonal Polynomials  
    Jonas T. Holdeman, Jr.  
    Mathematics of Computation, Vol. 23, No. 106. (Apr., 1969), pp. 275-287, Jstor.  
  37. Ordinary Differential Equations of the Fourth Order with Orthogonal Polynomial Solutions  
    John W. Meux  
    The American Mathematical Monthly, Vol. 73, No. 4, Part 2: Papers in Analysis. (Apr., 1966), pp. 104-110, Jstor.  
  38. An Algorithm for Summing Orthogonal Polynomial Series and their Derivatives with Applications to Curve-Fitting and Interpolation  
    Francis J. Smith  
    Mathematics of Computation, Vol. 19, No. 89. (Apr., 1965), pp. 33-36, Jstor.  
  39. Some Orthogonal Functions Connected with Polynomial Identities. II  
    J. B. Roberts  
    Proceedings of the American Mathematical Society, Vol. 15, No. 1. (Feb., 1964), pp. 127-130, Jstor.  
  40. Some Orthogonal Functions Connected with Polynomial Identities  
    J. B. Roberts  
    Proceedings of the American Mathematical Society, Vol. 9, No. 3. (Jun., 1958), pp. 364-370, Jstor.  
  41. Orthogonal Polynomial Fitting  
    John Wishart; Theocharis Metakides  
    Biometrika, Vol. 40, No. 3/4. (Dec., 1953), pp. 361-369, Jstor.  
  42. On the Convergence Properties of Lagrange Interpolation Based on the Zeros of Orthogonal Tchebycheff Polynomials  
    J. Shohat  
    The Annals of Mathematics, 2nd Ser., Vol. 38, No. 4. (Oct., 1937), pp. 758-769, Jstor.  
  43. On mechanical quadratures formulae involving the classical orthogonal polynomials.
    Winston, C.
    Ann. of Math. (2) 35 (1934), no. 3, 658--677, MathSciNet.  
  44. Approximation and Graduation According to the Principle of Least Squares by Orthogonal Polynomials  
    Charles Jordan  
    The Annals of Mathematical Statistics, Vol. 3, No. 4. (Nov., 1932), pp. 257-333+335-357, Jstor.  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004