On the rate of almost everywhere convergence of certain classical integral means, II

[摘要] In this sequel to previous work of A. Stokolos and W. Trebels (1999, J. Approx. Theory 98, 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-Sh. 32, 489-514) and A. A. Soljanik (1986, Ph.D. Thesis, Odessa) developed for the periodic case. (C) 1999 Academic Press.

[发布日期] 1999-12-01

[关键词] moduli of continuity;rate of almost everywhere convergence;counterexamples;Hardy spaces