On Some New Generalized Difference Sequence Spaces Defined by a Modulus Function
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Authors
Tanweer Jalal
- Department of Mathematics, National Institute of Technology, Hazratbal, Srinagar-190006
Abstract
In this paper we introduces the new generalized difference sequences spaces
\(\left[\hat{V}, \lambda, f, P\right]_0(\Delta^r_u,E), \left[\hat{V}, \lambda, f, P\right]_1(\Delta^r_u,E), \left[\hat{V}, \lambda, f, P\right]_{\infty}(\Delta^r_u,E), \hat{S}_\lambda(\Delta^r_u,E)\) and \(\hat{S}_{\lambda_0}(\Delta^r_u,E)\) (where \(E\) is any Banach space) which arise from the notion of generalized de la Vallée-
Poussin means and the concept of modulus function. We also give some inclusion relations between these
spaces.
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ISRP Style
Tanweer Jalal, On Some New Generalized Difference Sequence Spaces Defined by a Modulus Function, Journal of Mathematics and Computer Science, 15 (2015), no. 1, 78-87
AMA Style
Jalal Tanweer, On Some New Generalized Difference Sequence Spaces Defined by a Modulus Function. J Math Comput SCI-JM. (2015); 15(1):78-87
Chicago/Turabian Style
Jalal, Tanweer. "On Some New Generalized Difference Sequence Spaces Defined by a Modulus Function." Journal of Mathematics and Computer Science, 15, no. 1 (2015): 78-87
Keywords
- Difference sequence spaces
- modulus function
- paranorm
- statistical convergence.
MSC
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