On certain Euler difference sequence spaces of fractional order and related dual properties

Ugur Kadak, P. Baliarsingh
2015 Journal of Nonlinear Science and its Applications  
The purpose of this paper is to generalize the Euler sequences of nonabsolute type by introducing a generalized Euler mean difference operator E r (∆ (α) ) of order α. We investigate their topological structures as well as some interesting results concerning the operator E r (∆ (α) ) for a proper fractionα. Also we obtain the α-, β-and γ-duals of these sets. Keywords: Euler sequence spaces of nonabsolute type, linear operator, matrix transformations, α-, β-and γ-duals.
doi:10.22436/jnsa.008.06.10 fatcat:wsgyc6l4zjaohlfuhiqgyxh6ce