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A Generalization of Pál Interpolation. III the Hermite Case

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References

  1. R. Askey and S. Wainger, Mean convergence of expansion in Laguerre and Hermite series. Amer. J. Math., 87 (1965), 695–708.

    Google Scholar 

  2. J. Balázs and P. Turán, Notes on interpolation VIII, Acta Math. Acad. Sci. Hungar., 12 (1961), 469–474.

    Google Scholar 

  3. E. Egerváry and P. Turán, Notes on interpolation VI, Acta Math. Acad. Sci. Hungar., 10 (1959), 55–62.

    Google Scholar 

  4. G. Freud, On two polynomial inequalities I, Acta Math. Acad. Sci. Hungar., 22 (1971), 109–116.

    Google Scholar 

  5. G. Freud, On polynomial approximation with the weight exp \(\left( { - \frac{1}{2}x^{2k} } \right)\), Acta Math. Acad. Sci. Hungar., 24 (1973), 363–371.

    Google Scholar 

  6. G. Freud, Markov-Bernstein inequalities in L p(−∞, ∞), in Approximation Theory II (eds. G. G. Lorentz et al.), Academic Press (1976), pp. 369–370.

  7. G. Freud, Lagrangesche Interpolation über die Nullstelleen der Hermiteschen Orthogonalpolynome, Studia Sci. Math. Hungar., 4 (1969), 179–190.

    Google Scholar 

  8. L. G. Pál, A new modification of the Hermie-Fejér interpolation, Analysis Math., I (1975), 197–205.

    Google Scholar 

  9. J. Szabados and A. K. Varma, On a convergent Pál-type (0, 2) interpolation process, Acta Math. Hungar., 66 (1995), 301–326.

    Google Scholar 

  10. V. E. S. Szabó, A generalization of Pál interpolation. II, Acta Math. Hungar., 74 (1997), 19–29.

    Google Scholar 

  11. G. Szegö, Orthogonal Polynomials, Amer. Math. Soc. Coll. Publ., Vol. XXIII (Providence, 1978).

    Google Scholar 

  12. L. Szili, A convergence theorem for the Pál-method of interpolation on the roots of Hermite polynomials, Analysis Math., 11 (1985), 75–84.

    Google Scholar 

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Szabó, V.E.S. A Generalization of Pál Interpolation. III the Hermite Case. Acta Mathematica Hungarica 74, 191–201 (1997). https://doi.org/10.1023/A:1006503716033

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