Optimal and non-optimal rates of approximation for integrated semigroups and cosine functions

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/27996

Title:	Optimal and non-optimal rates of approximation for integrated semigroups and cosine functions
Authors:	Chang,JC;Shaw,SY
Contributors:	數學研究所
Date:	1997
Issue Date:	2010-06-29 19:39:45 (UTC+8)
Publisher:	中央大學
Abstract:	For a general approximation process we formulate theorems concerning rates of convergence, including theorems about saturation class, non-optimal rates. and sharpness of non-optimal convergence. The general results are then applied to n-times integrated semigroups and cosine functions, yielding some new results about their approximation. as well as the convergence of their Cesaro and Abel means to the identity. (C) 1997 Academic Press.
Relation:	JOURNAL OF APPROXIMATION THEORY
Appears in Collections:	[Graduate Institute of Mathematics] journal & Dissertation

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