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On coincidence of classes of functions defined by a generalised modulus of smoothness and the appropriate inverse theorem
Published 27 Aug 2012 in math.FA | (1208.5432v1)
Abstract: We give the theorem of coincidence of a class of functions defined by a generalised modulus of smoothness with a class of functions defined by the order of the best approximation by algebraic polynomials. We also prove the appropriate inverse theorem in approximation theory.
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