On the convergence of the series for orthogonal polynomials of a function with bounded variation

Géza Freud

Archivum Mathematicum (1965)

  • Volume: 001, Issue: 4, page 247-250
  • ISSN: 0044-8753

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Freud, Géza. "Über die Konvergenz der Orthogonalpolynomreihe einer Funktion mit beschränkter Variation." Archivum Mathematicum 001.4 (1965): 247-250. <http://eudml.org/doc/15789>.

@article{Freud1965,
author = {Freud, Géza},
journal = {Archivum Mathematicum},
keywords = {approximation and series expansion},
language = {ger},
number = {4},
pages = {247-250},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Über die Konvergenz der Orthogonalpolynomreihe einer Funktion mit beschränkter Variation},
url = {http://eudml.org/doc/15789},
volume = {001},
year = {1965},
}

TY - JOUR
AU - Freud, Géza
TI - Über die Konvergenz der Orthogonalpolynomreihe einer Funktion mit beschränkter Variation
JO - Archivum Mathematicum
PY - 1965
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 001
IS - 4
SP - 247
EP - 250
LA - ger
KW - approximation and series expansion
UR - http://eudml.org/doc/15789
ER -

References

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  1. Alexits G., Sur la convergence et la sommabilité presque partout des séries des polynomes orthogonaux, Acta Sci. Math. (Szeged) 12 (1950), 223-225. (1950) MR0034889
  2. Alexits G., Über den Einfluß der Struktur einer Funktion auf die Konvergenz fast überall ihrer Fourierreihe, Acta Math. Ac. Sci. Hung. 4 (1953), 95-101. (1953) Zbl0051.30202MR0060052
  3. Freud G., Über die starke (C, 1) - Summierbarkeit von orthogonalen Polynomreihen, Acta Math. Ac. Sci. Hung. 3 (1952), 83-88. (1952) Zbl0047.30404MR0051359
  4. Freud G., Über die Konvergenz orthogonaler Polynomreihen, Acta Math. Ac. Sci. Hung. 3 (1952), 89-98. (1952) Zbl0047.30501MR0051360
  5. Натансон П. И., О сходимости рядов no ортогоналъным полиномам, Доклады AH CCCP 2 (1834), 209-211. Zbl1171.62029
  6. Улянов И. Л., О 6eзусловной сходимости почти всюду, Maм. cборник 40 (1956), 95-100. (1956) MR0084067
  7. Zygmund A., Trigonometric series, 2. Aufl., Bd I-II, Cambridge 1959. (1959) Zbl0085.05601

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