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

By Ugur Kadak, Pinakadhar Baliarsingh. 2015

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The purpose of this paper is to generalize the Euler sequences of nonabsolute type by introducing a generalized Euler mean difference operator Er(∆(α̃)) of order α. We investigate their topological structures as well as some interesting results concerning the operator Er(∆(α̃)) for a proper fraction α̃. Also we obtain the α-, βand γ-duals of these sets.

Subfields: Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/6d7f18260ab01e3e73de4c5d4411e543e4147127