A new generalization of a problem of F. Lukács

Louis Brickman

Compositio Mathematica (1959-1960)

  • Volume: 14, page 195-227
  • ISSN: 0010-437X

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Brickman, Louis. "A new generalization of a problem of F. Lukács." Compositio Mathematica 14 (1959-1960): 195-227. <http://eudml.org/doc/88851>.

@article{Brickman1959-1960,
author = {Brickman, Louis},
journal = {Compositio Mathematica},
keywords = {approximation and series expansion},
language = {eng},
pages = {195-227},
publisher = {Kraus Reprint},
title = {A new generalization of a problem of F. Lukács},
url = {http://eudml.org/doc/88851},
volume = {14},
year = {1959-1960},
}

TY - JOUR
AU - Brickman, Louis
TI - A new generalization of a problem of F. Lukács
JO - Compositio Mathematica
PY - 1959-1960
PB - Kraus Reprint
VL - 14
SP - 195
EP - 227
LA - eng
KW - approximation and series expansion
UR - http://eudml.org/doc/88851
ER -

References

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  1. O. Bottema [1] "Ein Satz über definite Polynome," Nieuw Archief voor Wiskunde, 2nd Series, 15: 389-344, 1928. Zbl54.0122.04JFM54.0122.04
  2. F. Lukács [2] "Verschärfung des ersten Mittelwertsatzes der Integralrechnung für rationale Polynome," Mathematische Zeitschrift, 2: 295-305, 1918. Zbl46.0414.01MR1544319JFM46.0414.01
  3. G. Polya [3] "Untersuchungen über Lücken und Singularitäten von Potenzreihen," Mathematische Zeitschrift, 29: 549-640, 1928-9. Zbl55.0186.02JFM55.0186.02
  4. G. Polya and G. Szegö [4] Aufgaben und Lehrsätze aus der Analysis, 2nd volume, Berlin, J. Springer, 1925. Zbl51.0173.01JFM51.0173.01
  5. R. Radau [5] "Étude sur les formules d'approximation qui servent à calculer la valeur numérique d'une intégrale definie", Journal des Mathématiques pures et appliquées, 3me série, 6: 283-336, 1880. JFM12.0229.01
  6. M. Riesz [6] "Sur le problème des moments", 3me Note, Arkiv for Matematik, Astronomi och Fysik, 17: 1-52, 1922. Zbl49.0195.01JFM49.0195.01
  7. I. Schoenberg and G. Szegö [7] "An extremum problem for polynomials," Compositio Mathematica, 14 (1960), 260-268. Zbl0097.04902MR130520
  8. G. Szegö [8] Orthogonal Polynomials, New York, American Mathematical Society Colloquium Publications, Volume 23, 1939. Zbl0023.21505
  9. C. de la Vallée Poussin [9] Leçons sur l'approximation des fonctions d'une variable réelle, Paris, Gauthier-Villars et cie, 1919. Zbl47.0908.02JFM47.0908.02

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