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has been cited by the following article:

• 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.