Recurrence relations with periodic coefficients and Chebyshev polynomials

• Autorzy: Bernhard Beckermann , Jacek Gilewicz , Elie Leopold
• Języki publikacji: EN

Abstrakty

EN

We show that polynomials defined by recurrence relations with periodic coefficients may be represented with the help of Chebyshev polynomials of the second kind.

Słowa kluczowe

EN

orthogonal polynomials; periodic coefficients of recurrence relation

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 1995-1996
• Tom: 23
• Numer: 3
• Strony: 319-323

Daty

wydano

1995

otrzymano

1994-09-26

Twórcy

autor

Bernhard Beckermann

• Laboratoire d'Analyse Numérique, et d'Optimisation, UFR IEEA-M3, USTL Flandres-Artois

autor

Jacek Gilewicz

• Phymat, Université de Toulon et du Var, B.P. 132, 83957 la Garde Cedex, France, 59655 Villeneuve d'Ascq Cedex, France

autor

Elie Leopold

• Phymat, Université de Toulon et du Var, B.P. 132, 83957 la Garde Cedex, France, 59655 Villeneuve d'Ascq Cedex, France

Bibliografia

• [1] T. S. Chihara, An Introduction to Orthogonal Polynomials, Gordon and Breach, 1978.
• [2] J. S. Geronimo and W. Van Assche, Orthogonal polynomials with asymptotically periodic recurrence coefficients, J. Approx. Theory 46 (1986), 251-283.
• [3] J. S. Geronimo and W. Van Assche, Approximating the weight function for orthogonal polynomials on several intervals, ibid. 65 (1991), 341-371.
• [4] H. S. Wall, Analytic Theory of Continued Fractions, D. Van Nostrand, 1967.