Approximation of classes $(\psi,\bar\beta)$-differentiable functions by interpolating trigonometric polynomials

Abstract

We calculate the least upper bounds of pointwise approximations by interpolating trigonometric polynomials with equidistant nodes of interpolation for classes convolutions of $2\pi$-periodic functions, which belong to the unit ball of the space $L_2$, with an arbitrary square summable kernel.