- 期刊
ABEL-TYPE WEIGHTED MEANS TRANSFORMATIONS INTO ℓ
摘要
Let qk = (k+α_k) for α ＞ -1 and Qn = Σ_(k=0)^nqk. Suppose A_q = {ank}, where a_nk = q_k/Q_n for 0 ≤ k ≤ n and 0 otherwise. A_q is called the Abel-type weighted mean matrix. The purpose of this paper is to study these transformations as mappings into ℓ. A necessary and sufficient condition for A_q to be ℓ-ℓ is proved. Also some other properties of the A_q matrix are investigated.
延伸閱讀
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