Necessary conditions for Lp convergence of Lagrange interpolation on an arbitrary system of nodes

Journal of Approximation Theory

Volumn 85, Issue 1, 1996, Pages 16-26

  Shi, Ying Guang ^a  

^a INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030123820     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.1996.0026     Document Type: Article

References (10)

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2. 2. W. VAN ASSCHE AND J. L. TEUGELS, Second order asymptotic behavior of the zeros of orthogonal polynomials, Rev. Roumaine Math. Pures Appl. 32 (1987), 15-26.
3. 3. P. ERDOS AND G. FREUD, On orthogonal polynomials with regularly distributed zeros, Proc. London Math. Soc. 29 (1974), 521-537.
4. 4. G. FREUD, "Orthogonal Polynomials," Akadémiai Kiadó/Pergamon, Budapest, 1971.
5. 5. D. S. LUBISKY, A survey of general orthogonal polynomials for weights on finite and infinite intervals, Acta Appl. Math. 10 (1987), 237-296.
6. 6. G. MASTROIANNI AND P. VÉRTESI, Mean convergence of Lagrange interpolation on arbitrary system of nodes, Acta Sci Math. (Szeged) 57 (1993), 429-441.
7. 7. Y. G. SHI, Mean convergence of interpolatory processes on arbitrary system of nodes, Acta Math. Hungar., to appear.
8. 8. Y. G. SHI, Necessary conditions for Mean convergence of Lagrange interpolation on arbitrary system of nodes, Acta Math. Hungar., to appear.
9. 9. G. SZEGO, "Orthogonal Polynomials," Amer. Math. Soc. Colloq. Publ., Vol. 23, Amer. Math. Soc., Providence, RI, 1939.
10. 10. P. TURÁN, On some open problems of approximation theory, J. Approx. Theory 29 (1980), 23-85.