On Orders of Approximation Functions of Generalized Mixed Smoothness in Lorentz Spaces
DOI:
https://doi.org/10.5644/SJM.15.01.08Keywords:
Lorentz space, approximations of functions, Nikol’skii-Besov class, hyperbolic crossAbstract
We consider the Lorentz space with mixed norm of periodic functions of many variables and Nikol’skii-Besov type classes of the generalized mixed smoothness. We have obtained estimates of the best approximation by trigonometric polynomials with the harmonics from the hyperbolic crosses of functions fromNikol’skii-Besov’s type classes of the generalized mixed smoothness in the Lorentz space with the mixed norm.
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