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Volumn 90, Issue 1-2, 2001, Pages 27-52

Lagrange interpolation at laguerre zeros in some weighted uniform spaces

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EID: 23044533740     PISSN: 02365294     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (53)

References (22)
  • 1
    • 0001670810 scopus 로고
    • Mean convergence of expansions in Laguerre and Hermite series
    • R. Askey and S. Wainger, Mean convergence of expansions in Laguerre and Hermite series, Amer. J. Math., 87 (1965), 695-708.
    • (1965) Amer. J. Math. , vol.87 , pp. 695-708
    • Askey, R.1    Wainger, S.2
  • 2
    • 0001750979 scopus 로고
    • On interpolation III. Interpolatory theory of polynomials
    • P. Erdos and P. Turán, On interpolation III. Interpolatory theory of polynomials, Annals of Mathematics, 41 (1940), 510-553.
    • (1940) Annals of Mathematics , vol.41 , pp. 510-553
    • Erdos, P.1    Turán, P.2
  • 3
    • 3042572744 scopus 로고
    • Constructive characteristics of functions satisfying a Lipschitz condition on the semiaxis
    • V. M. Fedorov, Constructive characteristics of functions satisfying a Lipschitz condition on the semiaxis, Vestnik Mask. Univ., Matematika, 38 (1983), 64-69.
    • (1983) Vestnik Mask. Univ., Matematika , vol.38 , pp. 64-69
    • Fedorov, V.M.1
  • 4
    • 26444560580 scopus 로고
    • Lagrange-féle interpolációs eljárások konvergenciája végtelen intervallumon
    • G. Freud, Lagrange-féle interpolációs eljárások konvergenciája végtelen intervallumon, Mat. Lapok, 18 (1967), 289-292.
    • (1967) Mat. Lapok , vol.18 , pp. 289-292
    • Freud, G.1
  • 5
    • 2042438851 scopus 로고
    • A certain class of orthogonal polynomials
    • G. Freud, A certain class of orthogonal polynomials (Russian), Mat. Zametki, 9 (1971), 511-520.
    • (1971) Mat. Zametki , vol.9 , pp. 511-520
    • Freud, G.1
  • 6
    • 0041935063 scopus 로고
    • On two polynomial inequalities. II
    • G. Freud, On two polynomial inequalities. II, Acta Math. Acad. Sci. Hungar., 23 (1972), 137-145.
    • (1972) Acta Math. Acad. Sci. Hungar. , vol.23 , pp. 137-145
    • Freud, G.1
  • 9
    • 3042650572 scopus 로고
    • Lagrange interpolation with nodes at the roots of Sonin-Markov polynomials
    • O. Kis, Lagrange interpolation with nodes at the roots of Sonin-Markov polynomials (in Russian), Acta Math. Acad. Sci. Hungar., 23 (1972), 389-417.
    • (1972) Acta Math. Acad. Sci. Hungar. , vol.23 , pp. 389-417
    • Kis, O.1
  • 10
    • 0039964298 scopus 로고
    • Christoffel functions, orthogonal polynomials and Nevai's conjecture for Freud weights
    • A. L. Levin and D. S. Lubinsky, Christoffel functions, orthogonal polynomials and Nevai's conjecture for Freud weights, Constr. Approx., 8 (1992), 463-535.
    • (1992) Constr. Approx. , vol.8 , pp. 463-535
    • Levin, A.L.1    Lubinsky, D.S.2
  • 11
    • 0000458335 scopus 로고
    • An extension of the Erdos-Turán inequality for the sum of successive fundamental polynomials
    • D. S. Lubinsky, An extension of the Erdos-Turán inequality for the sum of successive fundamental polynomials, Annals of Numerical Maths., 2 (1995), 305-309.
    • (1995) Annals of Numerical Maths. , vol.2 , pp. 305-309
    • Lubinsky, D.S.1
  • 12
    • 0003774712 scopus 로고
    • Uniform convergence of derivatives of Lagrange interpolation
    • G. Mastroianni, Uniform convergence of derivatives of Lagrange interpolation, J. Comp. and Appl. Math., 43 (1992), 1-15.
    • (1992) J. Comp. and Appl. Math. , vol.43 , pp. 1-15
    • Mastroianni, G.1
  • 13
    • 0001728008 scopus 로고
    • Mean convergence of derivatives of Lagrange interpolation
    • G. Mastroianni and P. Nevai, Mean convergence of derivatives of Lagrange interpolation, J. Comput. Appl. Math., 34 (1991), 385-396.
    • (1991) J. Comput. Appl. Math. , vol.34 , pp. 385-396
    • Mastroianni, G.1    Nevai, P.2
  • 14
    • 3042572743 scopus 로고
    • Extremal problems for polynomials with Laguerre weights
    • Academic Press
    • H. N. Mhaskar and E. B. Saff, Extremal problems for polynomials with Laguerre weights, in: Approx. Theory IV, Academic Press (1983).
    • (1983) Approx. Theory IV
    • Mhaskar, H.N.1    Saff, E.B.2
  • 15
    • 0003984719 scopus 로고
    • Memoirs of the American Mathematical Society, American Mathematical Society Providence, RI
    • P. Nevai, Orthogonal Polynomials, Memoirs of the American Mathematical Society, 213 American Mathematical Society (Providence, RI, 1979).
    • (1979) Orthogonal Polynomials , vol.213
    • Nevai, P.1
  • 16
    • 0000493284 scopus 로고
    • A Laguerre-polinomok gyökein alapuló Lagrange-féle interpolációról
    • P. Nevai, A Laguerre-polinomok gyökein alapuló Lagrange-féle interpolációról, Mat. Lapok, 22 (1971), 149-164.
    • (1971) Mat. Lapok , vol.22 , pp. 149-164
    • Nevai, P.1
  • 17
    • 84966242635 scopus 로고
    • Mean Cesaro summability of Laguerre and Hermite series
    • E. L. Poiani, Mean Cesaro summability of Laguerre and Hermite series, Trans. AMS, 173 (1972), 1-31.
    • (1972) Trans. AMS , vol.173 , pp. 1-31
    • Poiani, E.L.1
  • 18
    • 0001240689 scopus 로고
    • Some good point systems for derivatives of Lagrange interpolatory operators
    • P. O. Runck and P. Vértesi, Some good point systems for derivatives of Lagrange interpolatory operators, Acta Math. Hungar., 56 (1990), 337-342.
    • (1990) Acta Math. Hungar. , vol.56 , pp. 337-342
    • Runck, P.O.1    Vértesi, P.2
  • 19
    • 0002447624 scopus 로고    scopus 로고
    • Weighted Lagrange and Hermite-Fejér interpolation on the real line
    • J. Szabados, Weighted Lagrange and Hermite-Fejér interpolation on the real line, J. of Inequal. & Appl., 1 (1997), 99-123.
    • (1997) J. of Inequal. & Appl. , vol.1 , pp. 99-123
    • Szabados, J.1
  • 20
    • 0000366889 scopus 로고
    • On the convergence of the derivatives of projection operators
    • J. Szabados, On the convergence of the derivatives of projection operators, Analysis, 7 (1987), 349-357.
    • (1987) Analysis , vol.7 , pp. 349-357
    • Szabados, J.1
  • 21
    • 0004073954 scopus 로고
    • American Mathematical Society Colloquium Publications, Providence, RI
    • G. Szegö, Orthogonal Polynomials, 4th edn. American Mathematical Society Colloquium Publications, Vol. 23 (Providence, RI, 1975).
    • (1975) Orthogonal Polynomials, 4th Edn. , vol.23
    • Szegö, G.1
  • 22
    • 57649144324 scopus 로고    scopus 로고
    • oral communication
    • P. Vértesi (oral communication).
    • Vértesi, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.