On estimates of the best $M$-term approximations of functions of many variables in a space with a uniform metric

The paper considers the space of continuous functions with a uniform metric and the anisotropic Lorentz – Zygmund space of periodic functions of many variables and the Nikol'skii – Besov class in this space. We have established estimates of the best $M$-term trigonometric approximations of functions from the Nikol'skii – Besov class in a uniform metric.