Remarks on Besov spaces and best polynomial approximation

Ditzian, Z.; Totik, V.

doi:10.1090/S0002-9939-1988-0969047-5

Remarks on Besov spaces and best polynomial approximation
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by Z. Ditzian and V. Totik

Proc. Amer. Math. Soc. 104 (1988), 1059-1066

DOI: https://doi.org/10.1090/S0002-9939-1988-0969047-5

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Abstract:

Besov-type spaces that are generated by new moduli of smoothness are related to sequence spaces of $\left \{ {{E_n}\left ( f \right )} \right \}$ where ${E_n}\left ( f \right )$ is the appropriate best algebraic polynomial approximation.

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