Nonlinear approximation of functions from the class L
r
with respect to the Vilenkin system |
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| Authors: | M G Grigoryan S A Sargsyan |
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| Institution: | 1. Yerevan State University, ul. Al. Manukyana 1, Yerevan, 0025, Republic of Armeniya
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| Abstract: | In this paper we prove that for any function f from the class L r on 0, 1) one can find a function g from the same class (which differs from f on a set of arbitrarily small measure) whose greedy algorithm with respect to the Vilenkin system converges to f. |
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