On the degree of convergence of Borel and Euler means of trigonometric series

Maria Topolewska

Časopis pro pěstování matematiky (1987)

  • Volume: 112, Issue: 3, page 225-232
  • ISSN: 0528-2195

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Topolewska, Maria. "On the degree of convergence of Borel and Euler means of trigonometric series." Časopis pro pěstování matematiky 112.3 (1987): 225-232. <http://eudml.org/doc/21676>.

@article{Topolewska1987,
author = {Topolewska, Maria},
journal = {Časopis pro pěstování matematiky},
keywords = {Borel means; rate of convergence; Euler means; Fourier series; estimates; conjugate series},
language = {eng},
number = {3},
pages = {225-232},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {On the degree of convergence of Borel and Euler means of trigonometric series},
url = {http://eudml.org/doc/21676},
volume = {112},
year = {1987},
}

TY - JOUR
AU - Topolewska, Maria
TI - On the degree of convergence of Borel and Euler means of trigonometric series
JO - Časopis pro pěstování matematiky
PY - 1987
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 112
IS - 3
SP - 225
EP - 232
LA - eng
KW - Borel means; rate of convergence; Euler means; Fourier series; estimates; conjugate series
UR - http://eudml.org/doc/21676
ER -

References

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  1. R. Bojanic, An estimate of the rate of convergence for Fourier series of functions of bounded variation, Publications de L'Institut Mathématique, Nouvelle série, 26 (40), 1979, p. 57-60. (1979) Zbl0451.42004MR0572330
  2. C. K. Chui A. S. B. Holland, On the order of approximation by Euler and Taylor means, Journal of Аpproximation Theory, 39 (1983), 24-38. (1983) MR0713359
  3. K. Knopp, Theorie und Аnwendung deг unendlichen Reihen, II, Berlin 1931. (1931) 
  4. G. H. Hardy, Divergent Ѕeries, Oxford 1949. (1949) MR0030620

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