Browsing by Subject "Non linear approximation"

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    The WCGA in Lp(logL)a spaces
    (Springer, 2023) Garrigós Aniorte, Gustavo Adolfo; Matemáticas
    We present new results concerning Lebesgue-type inequalities for the Weak Chebyshev Greedy Algorithm (WCGA) in uniformly smooth Banach spaces X. First, we generalize a result of Temlyakov to cover situations in which the modulus of smoothness and the so called A3 parameter are not necessarily power functions. Secondly, we apply this new theorem to the Zygmund spaces Lp(log L)a , with 1