Abstract
We consider the anisotropic Lorentz space of periodic functions. Sufficient conditions are proved for a function to belong to the anisotropic Lorentz space. Estimates for the order of approximation by trigonometric polynomials of the Nikol’skii–Besov class in the anisotropic Lorentz space are established.
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Original Russian Text © G.Akishev, 2016, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Vol. 22, No. 4, pp. 13–28.
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Akishev, G. On Approximation Orders of Functions of Several Variables in the Lorentz Space. Proc. Steklov Inst. Math. 300 (Suppl 1), 9–24 (2018). https://doi.org/10.1134/S0081543818020037
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DOI: https://doi.org/10.1134/S0081543818020037