Approximation of measurable periodic functions in measure by step functions
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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.
KeywordsStep Function Generalize Modulus Haar System Bounded Measurable Function Lebesgue Measurable Function
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- 2.I. M. Vinogradov,Foundations of the Theory of Numbers [in Russian], Nauka, Moscow 1981.Google Scholar
© Plenum Publishing Corporation 1997