Abstract
For spaces defined by a function ϕ of the type of modulus of continuity, we prove direct and inverse Jackson theorems for the approximation by step functions with uniform partition.
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References
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Pichugov, S.A. Approximation of measurable periodic functions in measure by step functions. Ukr Math J 48, 795–800 (1996). https://doi.org/10.1007/BF02384229
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DOI: https://doi.org/10.1007/BF02384229