On Approximation Orders of Functions of Several Variables in the Lorentz Space
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Pleiades Publishing
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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Akishev G. On Approximation Orders of Functions of Several Variables in the Lorentz Space/ G. Akishev//Proceedings of the Steklov Institute of Mathematics.-2018.-№300(1).-pp.9-24