Kasimova E.F., Khasanov Yu.Kh. About the relationship of a convolution type transform and the best approximation of periodic functions
Status: reviewing
Abstract. We consider a $2\pi$--periodic function $f(x)$ belonging to the space $L_p\,\,\, (1\leq p\leq\infty)$ on the period and a convolution type transformation containing some real function of bounded variation on the entire real axis. This transformation is a generalization of some specific transformations related to various characteristics of the function under consideration. As generalization of some results concerning features of the integral $L_p$--metric $(1Date of submission: 19 February 2020 г.