Ukrainian Mathematical Journal

, Volume 48, Issue 5, pp 795–800 | Cite as

Approximation of measurable periodic functions in measure by step functions

  • S. A. Pichugov
Brief Communication


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.


Step Function Generalize Modulus Haar System Bounded Measurable Function Lebesgue Measurable Function 
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Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • S. A. Pichugov

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