On Some New Generalized Difference Sequence Spaces Defined by a Modulus Function


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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