1. |
- Aleksanyan, Hayk, 1987-
(författare)
-
Nonlinear approximation by renormalized trigonometric system
- 2012
-
Ingår i: Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences). - : Springer. - 1068-3623. ; 47:2, s. 86-96
-
Tidskriftsartikel (refereegranskat)abstract
- We study the convergence of greedy algorithmwith regard to renormalized trigonometric system. Necessary and sufficient conditions are found for system’s normalization to guarantee almost everywhere convergence, and convergence in Lp(T) for 1 < p < ∞ of the greedy algorithm, where T is the unit torus. Also the non existence is proved for normalization which guarantees convergence almost everywhere for functions from L1(T), or uniform convergence for continuous functions.
|
|