S. Episkoposian

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20112026

most citedOn greedy algorithms with respect to generalized Walsh system

3 citations · 5 across the 8 of their papers we have counts for

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math.FA2015★ 2 cited

On the divergence of greedy algorithms with respect to Walsh subsystems in $L$

Sergo A. Episkoposian

In this paper we prove that there exists a function which $f (x)$ belongs to $L^{1} [0, 1]$ such that a greedy algorithm with regard to the Walsh subsystem does not converge to $f (x)$ i…

math.FA2015

Existence of double Walsh series universal in weighted $L_{μ}^{1} [0, 1]^{2}$ spaces

Sergo A. Episkoposian

In this paper we consider a question on existence of double Walsh series universal in weighted $L_{μ}^{1} [0, 1]^{2}$ spaces. We construct a weighted function $μ (x, y)$ and a series by doub…

math.FA2015

Universal series by trigonometric system in weighted $L_{μ}^{1}$ spaces

Sergo A. Episkoposian

In this paper we consider the question of existence of trigonometric series universal in weighted $L_{μ}^{1} [0, 2 π]$ spaces with respect to rearrangements and in usual sense.

On the divergence of greedy algorithms with respect to Walsh subsystems in L

Existence of double Walsh series universal in weighted Lμ1​[0,1]2 spaces

Universal series by trigonometric system in weighted Lμ1​ spaces

On the divergence of greedy algorithms with respect to Walsh subsystems in $L$

Existence of double Walsh series universal in weighted $L_{μ}^{1} [0, 1]^{2}$ spaces

Universal series by trigonometric system in weighted $L_{μ}^{1}$ spaces