On the degree of convergence of Borel and Euler means for double Fourier series of functions of bounded variation in Hardy sense
Mathematica Bohemica (1995)
- Volume: 120, Issue: 1, page 1-12
- ISSN: 0862-7959
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topTopolewska, Maria. "On the degree of convergence of Borel and Euler means for double Fourier series of functions of bounded variation in Hardy sense." Mathematica Bohemica 120.1 (1995): 1-12. <http://eudml.org/doc/247809>.
@article{Topolewska1995,
abstract = {For real functions of bounded variation in the Hardy sense, $2\pi $-periodic in each variable, the rates of pointwise convergence of the Borel and Euler means of their Fourier series are estimated.},
author = {Topolewska, Maria},
journal = {Mathematica Bohemica},
keywords = {rate of convergence; bounded variation; rectangular partial sums; double Fourier series; double trigonometric series; Borel means; Euler means; rate of convergence; bounded variation; rectangular partial sums; double Fourier series},
language = {eng},
number = {1},
pages = {1-12},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the degree of convergence of Borel and Euler means for double Fourier series of functions of bounded variation in Hardy sense},
url = {http://eudml.org/doc/247809},
volume = {120},
year = {1995},
}
TY - JOUR
AU - Topolewska, Maria
TI - On the degree of convergence of Borel and Euler means for double Fourier series of functions of bounded variation in Hardy sense
JO - Mathematica Bohemica
PY - 1995
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 120
IS - 1
SP - 1
EP - 12
AB - For real functions of bounded variation in the Hardy sense, $2\pi $-periodic in each variable, the rates of pointwise convergence of the Borel and Euler means of their Fourier series are estimated.
LA - eng
KW - rate of convergence; bounded variation; rectangular partial sums; double Fourier series; double trigonometric series; Borel means; Euler means; rate of convergence; bounded variation; rectangular partial sums; double Fourier series
UR - http://eudml.org/doc/247809
ER -
References
top- R. Bojanić, 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), 57-60. (1979) MR0572330
- C. K. Chui A. S. B. Holland, 10.1016/0021-9045(83)90066-7, Journal of Approximation Theory 39 (1983), 24-38. (1983) MR0713359DOI10.1016/0021-9045(83)90066-7
- G. H. Hardy, Divergent series, Oxford, 1949. (1949) Zbl0032.05801MR0030620
- J. Marcinkiewicz, On a class of functions and their Fourier series, Collected papers. PWN, Warszawa, 1964, pp. 36-41. (1964)
- R. Taberski, 10.4064/ap-15-1-97-115, Annales Polon. Math. 15 (1964), 97-115. (1964) Zbl0171.30002MR0167787DOI10.4064/ap-15-1-97-115
- L. Tonelli, Série Trigonometrische, Bologna, 1928. (1928)
- M. Topolewska, On the degree of convergence of Borel and Euler means of trigonometric series, Časopis pro pěstování matematiky 112(3) (1987), 225-232. (1987) Zbl0625.42004MR0905967
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