Regularized summation of Haar series of continuous functions
Vladikavkazskij matematičeskij žurnal, Tome 18 (2016) no. 2, pp. 49-54
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We study the problem of summation of Haar series of continuous functions. We present the proof of the stability and uniform convergence of Haar series regularized by generalized summation function for the class of continuous functions with approximate coefficients.
@article{VMJ_2016_18_2_a5,
author = {M. L. Kazarian},
title = {Regularized summation of {Haar} series of continuous functions},
journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
pages = {49--54},
publisher = {mathdoc},
volume = {18},
number = {2},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMJ_2016_18_2_a5/}
}
M. L. Kazarian. Regularized summation of Haar series of continuous functions. Vladikavkazskij matematičeskij žurnal, Tome 18 (2016) no. 2, pp. 49-54. http://geodesic.mathdoc.fr/item/VMJ_2016_18_2_a5/