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On certain linear operators. VIII

Functions where 171-1171-1171-1171-2171-2171-2also. functions having bounded derivatives

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References

  1. H. Lebesgue, Sur la représentation trigonométrique approchée des fonctions satisfaisant a une condition de Lipschitz,Bull. Soc. Math. France,38 (1910), pp. 184–210.

    Google Scholar 

  2. K. I. Oskolkov, Improvement of an estimation of Lebesgue ...,Trudi Matem. in.-ta im. Steklova,CXII (1971), pp. 337–345 (Russian).

    Google Scholar 

  3. P. O. H. Vértesi, On certain linear operators. VII,Acta Math. Acad. Sci. Hung.,25 (1974), pp. 67–80.

    Google Scholar 

  4. P. O. H. Vértesi, Lower estimations for some interpolating processes,Studia Sci. Math. Hung.,5 (1970), pp. 401–410.

    Google Scholar 

  5. A. H. Turecki,Interpolation Theory through Problems, Minsk, 1968 (Russian).

  6. O. Kis, Remarks on the order of convergence of the Lagrange interpolation,Annales Univ. Sci. Budapest,11 (1968), pp. 27–40 (Russian).

    Google Scholar 

  7. G. Szegő,Orthogonal Polynomials (New York, 1959).

  8. G. I. Natanson, Two-sided estimate for the Lebesgue-function of the Lagrange interpolation with Jacobi nodes,Izv. Vyss. Ucebn. Zaved. Matematika,11 (1967), pp. 67–74 (Russian).

    Google Scholar 

  9. P. O. H. Vértesi, On certain linear operators. IV,Acta Math. Acad. Sci. Hung.,23 (1972), pp. 115–125.

    Google Scholar 

  10. K. I. Oskolkov, Subsequences of Fourier-sum of functions ...,Mat. Sbor.,88 (130)3 (7) (1972), pp. 447–469 (Russian).

    Google Scholar 

  11. N. I. Krylov,Approximate Calculation of Integrals (Macmillan Co. New York, 1962).

    Google Scholar 

  12. V. I. Smirnov-N. A. Lebedev, Constructive theory of functions of complex variable, Moscow-Leningrad, 1964 (Russian).

  13. A. F. Timan,Theory of approximation of functions of a real variable (Moscow, 1960) (Russian).

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  1. Eötvös Loránd Tudományegyetem Numerikus És Gépi Matematika Tanszék, Múzeum KRT. 6-8, 1088, Budapest

    P. O. H. Vértesi

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  1. P. O. H. Vértesi
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Vértesi, P.O.H. On certain linear operators. VIII. Acta Mathematica Academiae Scientiarum Hungaricae 25, 171–187 (1974). https://doi.org/10.1007/BF01901759

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