Geodesic
On Faber--Schauder coefficients of continuous functions and divergence of greedy algorighms
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2019), pp. 63-69

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider relationship between the rate of convergence to zero of the Faber–Schauder coefficients of continuous functions and the behavior of the greedy algorithm. We construct a continuous function $f$ with Faber–Schauder coefficients $|A_n (f)|=O(\log^{-1} n)$ and divergent greedy algorithm.
Keywords: greedy algorithm, Faber–Schauder system
Mots-clés : coefficients of expansion, uniform convergence. 
@article{IVM_2019_5_a5,
     author = {A. A. Sargsyan},
     title = {On {Faber--Schauder} coefficients of continuous functions and divergence of greedy algorighms},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {63--69},
     publisher = {mathdoc},
     number = {5},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2019_5_a5/}
}
TY  - JOUR
AU  - A. A. Sargsyan
TI  - On Faber--Schauder coefficients of continuous functions and divergence of greedy algorighms
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2019
SP  - 63
EP  - 69
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2019_5_a5/
LA  - ru
ID  - IVM_2019_5_a5
ER  - 
%0 Journal Article
%A A. A. Sargsyan
%T On Faber--Schauder coefficients of continuous functions and divergence of greedy algorighms
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2019
%P 63-69
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2019_5_a5/
%G ru
%F IVM_2019_5_a5
A. A. Sargsyan. On Faber--Schauder coefficients of continuous functions and divergence of greedy algorighms. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2019), pp. 63-69. http://geodesic.mathdoc.fr/item/IVM_2019_5_a5/