Approximation Theorems for Exponentially Bounded <i>a</i>-Times Integrated Cosine Function  

作　　者：Lufeng Ling 

机构地区：[1]School of Mathematics and Information Science, Shangqiu Teachers College, Shangqiu, Henan, China

出　　处：《Advances in Pure Mathematics》2014年第11期580-584,共5页理论数学进展（英文）

摘　　要：In this paper, based on the theories of α-times Integrated Cosine Function, we discuss the approximation theorem for α-times Integrated Cosine Function and conclude the approximation theorem of exponentially bounded α-times Integrated Cosine Function by the approximation theorem of n-times integrated semigroups. If the semigroups are equicontinuous at each point ? , we give different methods to prove the theorem.In this paper, based on the theories of α-times Integrated Cosine Function, we discuss the approximation theorem for α-times Integrated Cosine Function and conclude the approximation theorem of exponentially bounded α-times Integrated Cosine Function by the approximation theorem of n-times integrated semigroups. If the semigroups are equicontinuous at each point ? , we give different methods to prove the theorem.

关 键 词：α-Times INTEGRATED COSINE Function EXPONENTIALLY BOUNDED Approximation 

分 类 号：O1[理学—数学]