On deferred statistical boundedness of order α. Issue 24 (17th December 2022)

• Record Type: Journal Article
• Authors: Et, Mikail; Bhardwaj, Vinod K.; Gupta, Sandeep
• Is Part Of: Communications in statistics. Volume 51:Issue 24(2022)
• Page Start: 8786
• Page End: 8798
• Publication Date: 2022-12-17
• Subjects: Statistical boundedness -- dual spaces -- statistical convergence -- Cesàro summability; 40A05 -- 40C05 -- 46A45; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2021.1906434
• Languages: English
• ISSNs: 0361-0926

Abstract

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 α ( 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.