Density by Moduli and Statistical Boundedness. (10th February 2016)

• Record Type: Journal Article
• Authors: Bhardwaj, Vinod K.; Dhawan, Shweta; Gupta, Sandeep
• Other Names: Reich Simeon Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2016(2016)
• Publication Date: 2016-02-10
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2016/2143018
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We have generalized the notion of statistical boundedness by introducing the concept off -statistical boundedness for scalar sequences wheref is an unbounded modulus. It is shown that bounded sequences are precisely those sequences which aref -statistically bounded for every unbounded modulusf . A decomposition theorem forf -statistical convergence for vector valued sequences and a structure theorem forf -statistical boundedness have also been established.