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Convergent interpolatory processes for arbitrary systems of nodes

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References

  1. S. Bernstein, Sur une modification de la formule d'interpolation de Lagrange,Comm. Soc. Math. Kharkov,5 (4) (1932), 49–57.

    Google Scholar 

  2. L. Fejér, Lagrange interpolation und die zugehörigen konjugierten Punkte,Math. Annalen,106 (1932), 1–55.

    Google Scholar 

  3. P. Erdős, On some convergence properties of the interpolation polynomials.Annals of Math.,44 (1943), 330–337.

    Google Scholar 

  4. P. Erdős, Problems and results on the convergence and divergence properties of the Lagrange interpolation polynomials and some extremal problems,Mathematica,10 (33) (1968), 65–73.

    Google Scholar 

  5. G. Freud, On approximation by interpolatory polynomials,Mat. Lapok,18 (1967), 61–64 (Hungarian).

    Google Scholar 

  6. J. Szabados, On some convergent interpolatory polynomials,Proc. of the Coll. on Fourier Analysis and Appr. Theory (to appear).

  7. A. F. Timan,Theory of approximation of functions of real variables, Pergamon Press (1963).

  8. I. E. Gopengauz, On a theorem of A. F. Timan on approximation of continuous functions on a finite segment,Mat. Zam.,1 (2) (1967), 163–172 (Russian).

    Google Scholar 

  9. S. A. Telyakovski, Two theorems on the approximation of functions by algebraic polynomials,Mat. Sbornik,70 (2) (1966), 252–265 (Russian).

    Google Scholar 

  10. G. Freud, P. Vértesi, A new proof of A. F. Timan's approximation theorem,Studia Sci. Math. Hungar.,2 (1967), 403–414.

    Google Scholar 

  11. O. Kis, P. Vértesi, On a new interpolation process,Annales Univ. Sci. Budapest, Sectio Math.,10 (1967), 117–128 (Russian).

    Google Scholar 

  12. R. B. Saxena, A new proof of S. A. Telyakowskii's theorem,Studia Sci. Math. Hungar.,7 (1972), 13–19.

    Google Scholar 

  13. G. Freud, A. Sharma, Some good sequences of interpolatory polynomials,Can. J. Math.,26 (1) (1974), 233–246.

    Google Scholar 

  14. Conference on Theory of Approximation. Problems. Inst. Mat. Pol. Ak. Nauk (Poznan, 1972).

  15. G. Freud,Orthogonal Polynomials, Akadémiai Kiadó (Budapest, 1971).

    Google Scholar 

  16. G. Grünwald, On the theory of interpolation,Acta Math.,75 (1943), 219–245.

    Google Scholar 

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To Professor G. Alexits on his 80th birthday

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Vértesi, P. Convergent interpolatory processes for arbitrary systems of nodes. Acta Mathematica Academiae Scientiarum Hungaricae 33, 223–234 (1979). https://doi.org/10.1007/BF01903398

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