Approximation and Moduli of Fractional Orders in Smirnov-orlicz Classes
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چکیده
In this work we investigate the approximation problems in the Smirnov-Orlicz spaces in terms of the fractional modulus of smoothness. We prove the direct and inverse theorems in these spaces and obtain a constructive descriptions of the Lipschitz classes of functions defined by the fractional order modulus of smoothness, in particular. 1. Preliminaries and introduction A function M (u) : R → R is called an N -function if it admits of the representation
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تاریخ انتشار 2008