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Статья
2013

Nonlinear approximation of functions from the class L r with respect to the Vilenkin system


M. G. GrigoryanM. G. Grigoryan, S. A. SargsyanS. A. Sargsyan
Русская математика
https://doi.org/10.3103/S1066369X13020035
Abstract / Full Text

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.

Author information
  • Yerevan State University, ul. Al. Manukyana 1, Yerevan, 0025, Republic of ArmeniyaM. G. Grigoryan & S. A. Sargsyan
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