On the Approximate Weak Chebyshev Greedy Algorithm in uniformly smooth Banach spaces

@inproceedings{Dereventsov2016OnTA,
  title={On the Approximate Weak Chebyshev Greedy Algorithm in uniformly smooth Banach spaces},
  author={Anton Vadimovich Dereventsov},
  year={2016}
}
We study greedy approximation in uniformly smooth Banach spaces. The Weak Chebyshev Greedy Algorithm (WCGA), introduced and studied in [6], is defined for any Banach space X and a dictionary D, and provides nonlinear n-term approximation with respect to D. In this paper we study the Approximate Weak Chebyshev Greedy Algorithm (AWCGA) – a modification of the WCGA that was studied in [7]. In the AWCGA we are allowed to calculate n-term approximation with a perturbation in computing the norming… CONTINUE READING

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