Several remarks on acceleration of convergence using generalized linear methods of summability

[摘要] Some acceleration theorems for generalized linear summability methods A = (A(nk)), where A(nk) are linear bounded operators from Banach space (B-space) X into B-space Y are derived. These results are proved by the method of summability with given rapidity. For this purpose some problems of summability with given rapidity are discussed. (C) 2003 Elsevier B.V. All rights reserved.

[发布日期] 2003-10-15

[关键词] linear summability methods;convergence acceleration