Convergence of logarithmic means of quadratic partial sums of double Fourier series
Colloquium Mathematicum, Tome 131 (2013) no. 1, pp. 99-112
We investigate some convergence and divergence properties of the logarithmic means of quadratic partial sums of double Fourier series of functions, in measure and in the $L$ Lebesgue norm.
Keywords:
investigate convergence divergence properties logarithmic means quadratic partial sums double fourier series functions measure lebesgue norm
Affiliations des auteurs :
Ushangi Goginava  1
@article{10_4064_cm131_1_9,
author = {Ushangi Goginava},
title = {Convergence of logarithmic means of quadratic partial sums of double {Fourier} series},
journal = {Colloquium Mathematicum},
pages = {99--112},
year = {2013},
volume = {131},
number = {1},
doi = {10.4064/cm131-1-9},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm131-1-9/}
}
TY - JOUR AU - Ushangi Goginava TI - Convergence of logarithmic means of quadratic partial sums of double Fourier series JO - Colloquium Mathematicum PY - 2013 SP - 99 EP - 112 VL - 131 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4064/cm131-1-9/ DO - 10.4064/cm131-1-9 LA - en ID - 10_4064_cm131_1_9 ER -
Ushangi Goginava. Convergence of logarithmic means of quadratic partial sums of double Fourier series. Colloquium Mathematicum, Tome 131 (2013) no. 1, pp. 99-112. doi: 10.4064/cm131-1-9
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