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2016 Density by Moduli and Statistical Boundedness
Vinod K. Bhardwaj, Shweta Dhawan, Sandeep Gupta
Abstr. Appl. Anal. 2016: 1-6 (2016). DOI: 10.1155/2016/2143018


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


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Vinod K. Bhardwaj. Shweta Dhawan. Sandeep Gupta. "Density by Moduli and Statistical Boundedness." Abstr. Appl. Anal. 2016 1 - 6, 2016.


Received: 20 August 2015; Accepted: 12 January 2016; Published: 2016
First available in Project Euclid: 13 April 2016

zbMATH: 06929352
MathSciNet: MR3462632
Digital Object Identifier: 10.1155/2016/2143018

Rights: Copyright © 2016 Hindawi

Vol.2016 • 2016
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