Approximation Theorems for Exponentially Bounded a-Times Integrated Cosine Function ()
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.
Share and Cite:
Ling, L. (2014) Approximation Theorems for Exponentially Bounded
a-Times Integrated Cosine Function.
Advances in Pure Mathematics,
4, 580-584. doi:
10.4236/apm.2014.411066.
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