2018•Proceedings of the Steklov Institute of MathematicsRequires access

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

Г. Акишев

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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Key concepts: Lorentz space, Lorentz transformation, Space (punctuation), Anisotropy, Mathematics, Trigonometry, Class (philosophy), Order (exchange)