On the Rate of Almost Everywhere Convergence of Certain Classical Integral Means, II Original Research Article

In this sequel to previous work of A. Stokolos and W. Trebels (1999, J. Approx. Theory98, 203–222) we indicate at the example of the Gauss–Weierstrass and the Abel–Poisson means the sharpness of some results obtained there. This is achieved by modifying methods of K. I. Oskolkov (1977, Math. USSR-Sb.32, 489–514) and A. A. Soljanik (1986, Ph.D. Thesis, Odessa) developed for the periodic case.