Polynomial approximation of regular functions of a quaternionic variable
DOI:
https://doi.org/10.55225/sti.441Keywords:
quaternionic regular functions, polynomial approximation, Bernstein-Walsh-Siciak theorem, Bernstein-Markov condition, polynomial extremal function, Bernstein-Walsh inequalityAbstract
We consider Bernstein-Walsh-Siciak-type theorems on the polynomial approximation in the case of regular functions of one quaternionic variable and their applications to the uniform approximation and approximation in Lp norms with respect to measures satisfying the Bernstein-Markov condition.
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