Abstract

In this paper, we introduce and examine the concept of deferred statistical boundedness of order α and give the relation between statistical boundedness and deferred statistical boundedness of order α. Apart from studying the Köthe-Toeplitz duals of $S_{p,q}^{\alpha }(b),$ the space of deferred statistically bounded sequences of order α, a decomposition theorem is also established. Finally we give a general description of inclusion between two deferred $\alpha -$statistical methods of boundedness.

中文翻译：

---

关于α阶的延迟统计有界性

摘要

在本文中，我们介绍并检验了α阶延迟统计有界的概念，并给出了统计有界与α阶延迟统计有界之间的关系。除了研究 Köthe-Toeplitz 对偶${\mathrm{小号}}_{p,q}^{\alpha }(b),$α阶延迟统计有界序列的空间，还建立了分解定理。最后，我们给出两个延迟之间包含的一般描述$\alpha -$有界统计方法。