Ukrainian Mathematical Journal

, Volume 48, Issue 8, pp 1222–1228 | Cite as

On the existence of a measurable function with given values of the best approximations inL 0

  • S. A. Pichugov


In the space of convergence in measure, we study the Bernstein problem of existence of a function with given values of the best approximations by a system of finite-dimensional subspaces strictly imbedded in one another.


Measurable Function Polynomial Approximation Convergent Subsequence Nonnegative Number Independent Element 
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© Plenum Publishing Corporation 1997

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  • S. A. Pichugov

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