essentially convergent sequence
2.Theorem 4(Relation of a Convergent Sequence between its Subsequence) If the sequence converges to ,then any of its subsequence is also convergent, and the limit is also .
3.(T c 0 ) 0 is the largest l. c. s topology which has the same convergent sequence with T and is admissible with dual pair (X,X′).
4.Monotone iteration method and upper and lower solutions were used to approach to the solution of the first-order integral boundary value problem on time scales form below and above by monotone convergent sequence.
5.In this paper,The generalized Aitken △~2-process is introduced for the convergent sequence of limit k-periodic continued fractions. Under some conditions. Limit k -periodivc continued fractions can be accelarated by it some example is qiven.
6.In this paper, we give the strongest admissible polar topology F(Us) for which it has the same s-multiplier convergent sequence as weak topology in the locally convex space. Also we obtain the sufficient condition and necessary condition for Thus, we prove that c0 (or lp, 0 < p < )- multiplier convergence is invariants with respect to all admissible polar topology.
9.Resorting to the convergent theorem of sequence of the analytic function, we define the uniform bound ,inner closed uniform bound and inner closed uniform convergence of the monogenic function in the real Clifford analysis. In addition, we discuss several properties of sequence of monogenic functions.
