About Lebesgue inequalities on the classes of generalized Poisson integrals

A. S. Serdyuk, T. A. Stepaniuk

For the functions $f$, which can be represented in the form of the convolution $f(x)=\frac{a_{0}}{2}+\frac{1}π\int\limits_{-π}^π\sum\limits_{k=1}^{\infty}e^{-αk^{r}}\cos(kt-\frac{β…