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On a Problem of P. Turán

Published online by Cambridge University Press:  20 November 2018

P. O. H. Vértesi
P. O. H. Vértesi*
Affiliation:
Department of Mathematics, University of Alberta, Edmonton, Alberta, CanadaT6G 2G1
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Let us consider the well-known Hermite-Fejér interpolating process on the interval [—1,1] i.e. let

(1.1)

(sometimes we omit the second indices),

(1.2)

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 2 , June 1975 , pp. 283 - 288
Copyright
Copyright © Canadian Mathematical Society 1975

References

1. Fejér, L., Die Abschätzung eines Polynômes, Math. Zeitschrift, 32 (1930), 426-457.Google Scholar
2. Turán, P., Aremark on Hermite-Fejér interpolation, Annales Univ. Sci. Bud. de Roi. Eötvös Nom., (Sectio Math.) 34 (1960/61), 369-377.Google Scholar
3. Vértesi, P. O. H., On the convergence of Hermite-Fejér interpolation, Acta Math. Acad. Sci. Hung, 22 (1971), 151-158.Google Scholar
4. Faber, G., Uber die interpolatorische Darstellung stetiger Funktionen, Jahresbericht der Deutsch. Math. Ver., (1914), 192-210.Google Scholar
5. Vértesi, P. O. H., Lower estimations for some interpolating processes, Studia Sci. Math. Hung. 5 (1971), 401-410.Google Scholar
6. Szegö, G., Orthogonal polynomials, Amer. Math. Soc. Coll. Publ. XXIII (New York, 1959).Google Scholar