Approximation Theorems for Exponentially Bounded a-Times Integrated Cosine Function

Lufeng Ling^*

School of Mathematics and Information Science, Shangqiu Teachers College, Shangqiu, Henan, China.

DOI: 10.4236/apm.2014.411066                

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.

Keywords

α-Times Integrated Cosine Function, Exponentially Bounded, Approximation

Conflicts of Interest

The authors declare no conflicts of interest.

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