TITLE:
Approximation Theorems for Exponentially Bounded a-Times Integrated Cosine Function
AUTHORS:
Lufeng Ling
KEYWORDS:
α-Times Integrated Cosine Function, Exponentially Bounded, Approximation
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.4 No.11,
November
14,
2014
ABSTRACT: 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.