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Volumn 76, Issue 1-2, 1996, Pages 315-324

On the convergence of rational functions orthogonal on the unit circle

Author keywords

Orthogonal rational functions

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL MODELS; POLES AND ZEROS; POLYNOMIALS;

EID: 0030417772     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(96)00116-1     Document Type: Article
Times cited : (4)

References (16)
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    • The computation of orthogonal rational functions and their interpolating properties
    • A. Bultheel, P. González-Vera, E. Hendriksen and O. Njåstad, The computation of orthogonal rational functions and their interpolating properties, Numer. Algorithms 2 (1992) 85-114.
    • (1992) Numer. Algorithms , vol.2 , pp. 85-114
    • Bultheel, A.1    González-Vera, P.2    Hendriksen, E.3    Njåstad, O.4
  • 7
    • 0010936559 scopus 로고
    • On the role of orthogonal polynomials on the unit circle in digital signal processing applications
    • P. Nevai, Ed., Kluwer, Dordrecht
    • P. Delsarte and Y. Genin, On the role of orthogonal polynomials on the unit circle in digital signal processing applications, in: P. Nevai, Ed., Orthogonal Polynomials: Theory and Practice (Kluwer, Dordrecht, 1990) 115-133.
    • (1990) Orthogonal Polynomials: Theory and Practice , pp. 115-133
    • Delsarte, P.1    Genin, Y.2
  • 8
    • 0019589376 scopus 로고
    • Schur recursion, error formulas and convergence of rational estimators for stationary stochastic sequences
    • P. Dewilde and H. Dym, Schur recursion, error formulas and convergence of rational estimators for stationary stochastic sequences, IEEE Trans. Inform. Theory 27 (1981), 446-461.
    • (1981) IEEE Trans. Inform. Theory , vol.27 , pp. 446-461
    • Dewilde, P.1    Dym, H.2
  • 9
    • 0040450178 scopus 로고
    • Orthonormal sets of rational functions on the unit circle with given set of poles
    • in Russian
    • M.M. Djrbashian, Orthonormal sets of rational functions on the unit circle with given set of poles, Dokl. SSSR 147 (1962) 1278-1281 (in Russian).
    • (1962) Dokl. SSSR , vol.147 , pp. 1278-1281
    • Djrbashian, M.M.1
  • 10
    • 0039265388 scopus 로고
    • Orthogonal systems of rational functions on the circle
    • in Russian
    • M.M. Djrbashian, Orthogonal systems of rational functions on the circle, Izv. Akad. Nauk Armyan. SSR. Ser. Mat. 1 (1966) 3-24 (in Russian).
    • (1966) Izv. Akad. Nauk Armyan. SSR. Ser. Mat. , vol.1 , pp. 3-24
    • Djrbashian, M.M.1
  • 11
    • 0040450171 scopus 로고
    • Orthogonal systems of rational functions on the unit circle
    • in Russian
    • M.M. Djrbashian, Orthogonal systems of rational functions on the unit circle, Izv. Akad. Nauk Armyan. SSR. Ser. Mat. 1 (2) (1966) 106-125 (in Russian).
    • (1966) Izv. Akad. Nauk Armyan. SSR. Ser. Mat. , vol.1 , Issue.2 , pp. 106-125
    • Djrbashian, M.M.1
  • 12
    • 0002596392 scopus 로고
    • A survey on the theory of orthogonal systems and some open problems
    • P. Nevai, Ed., Kluwer, Dordrecht
    • M.M. Djrbashian, A survey on the theory of orthogonal systems and some open problems, in: P. Nevai, Ed., Orthogonal Polynomials: Theory and Practice (Kluwer, Dordrecht, 1990) 135-146.
    • (1990) Orthogonal Polynomials: Theory and Practice , pp. 135-146
    • Djrbashian, M.M.1
  • 14
    • 0010885028 scopus 로고    scopus 로고
    • Strong and weak convergence of rational functions orthogonal on the circle
    • X. Li and K. Pan, Strong and weak convergence of rational functions orthogonal on the circle J. London Math. Soc. 53 (2) (1996) 289-301.
    • (1996) J. London Math. Soc. , vol.53 , Issue.2 , pp. 289-301
    • Li, X.1    Pan, K.2
  • 15
    • 0039857090 scopus 로고
    • Szegö's theorem for polynomials orthogonal with respect to varying measures
    • M. Alfaro et al. Eds., Springer, Berlin
    • G. Löpez, Szegö's theorem for polynomials orthogonal with respect to varying measures, in: M. Alfaro et al. Eds., Orthogonal Polynomials and their Applications, Lecture Notes in Mathematics, Vol. 1329 (Springer, Berlin, 1988), 255-260.
    • (1988) Orthogonal Polynomials and Their Applications, Lecture Notes in Mathematics , vol.1329 , pp. 255-260
    • Löpez, G.1
  • 16
    • 38249001985 scopus 로고
    • Strong and weak convergence of orthogonal systems of rational functions on the unit circle
    • K. Pan, Strong and weak convergence of orthogonal systems of rational functions on the unit circle, J. Comput. Appl Math. 46 (1993) 427-436.
    • (1993) J. Comput. Appl Math. , vol.46 , pp. 427-436
    • Pan, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.