WEIGHTED MEANS AND SUMMABILITY BY GENERALIZED NORLUND AND OTHER METHODS

[摘要] It is proved that if the weighted means of a sequence satisfy certain order conditions, then the sequence is summable by every method of a family of methods GAMMA(p) based on a given sequence (p(n)). The family GAMMA(p) includes the power series method J(p) and the generalized Norlund method (N, p, p). (C) 1994 Academic Press, Inc.

[发布日期] 1994-06-15