Estimates of approximations by interpolation trigonometric polynomials on the classes of convolutions of high smoothness

A. S. Serdyuk, T. A. Stepaniuk

We establish interpolation analogues of Lebesgue type inequalities on the sets of $C_{\beta }^{\psi }{L}_1$ $2\pi$-periodic functions $f$, which are representable as convolutions of generating ke…