On deferred statistical boundedness of order α

Mikail Et, Vinod K. Bhardwaj and Sandeep Gupta

Communications in Statistics - Theory and Methods, 2022, vol. 51, issue 24, 8786-8798

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 Sp,qα(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 α−statistical methods of boundedness.

Date: 2022
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DOI: 10.1080/03610926.2021.1906434

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