Browsing 2007 - Springer Link by Title

Browsing 2007 - Springer Link by Title

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  • On a new class of function systems of Faber-Schauder type 
    Aubakirov, T. U.; Bokaev, N. A. (Nauka/Interperiodica, 2007-11)
    In this paper, we introduce a new class of function systems generalizing the classical Faber–Schauder system. Under the condition that the generating sequence is bounded, we show that systems of such a class constitute ...
  • On orders of approximation of function classes in Lorentz spaces with anisotropic norm 
    Akishev, G. A. (Nauka/Interperiodica, 2007-02)
    In this paper, we study the anisotropic Lorentz space of periodic functions.We establish a sharp estimate of the order of approximation for the Besov class by trigonometric polynomials in Lorentz spaces with anisotropic norm.

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