Geodesic
On $n$-Term Approximations with Respect to Frames Bounded in $L^p(0,1)$, $2$
Matematičeskie zametki, Tome 95 (2014) no. 6, pp. 830-835

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In this paper, best canonical $n$-term approximations in the norm of the spaces $L^2(0,1)$ of the family $\mathbb I$ of characteristic functions of intervals are studied.
Keywords: best canonical $n$-term approximation, tight frame, Haar system, Bessel's inequality, Rademacher function, Khinchine's inequality. 
@article{MZM_2014_95_6_a3,
     author = {B. S. Kashin and A. V. Meleshkina},
     title = {On $n${-Term} {Approximations} with {Respect} to {Frames} {Bounded} in $L^p(0,1)$, $2<p<\infty$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {830--835},
     publisher = {mathdoc},
     volume = {95},
     number = {6},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2014_95_6_a3/}
}
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B. S. Kashin; A. V. Meleshkina. On $n$-Term Approximations with Respect to Frames Bounded in $L^p(0,1)$, $2