On Approximation Orders of Functions of Several Variables in the Lorentz Space


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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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G. Akishev

Karaganda State University; Ural Federal University

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Email: akishev_g@mail.ru
哈萨克斯坦, Karaganda, 470074; Yekaterinburg, 620000

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