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


Authors

Ugur Kadak - Department of Mathematics, Bozok University, 66100 Yozgat, Turkey. P. Baliarsingh - Department of Mathematics, School of Applied Sciences, KIIT University, India.


Abstract

The purpose of this paper is to generalize the Euler sequences of nonabsolute type by introducing a generalized Euler mean difference operator \(E^r(\Delta^{(\tilde{\alpha})})\) of order \(\alpha\). We investigate their topological structures as well as some interesting results concerning the operator \(E^r(\Delta^{(\tilde{\alpha})})\) for a proper fraction \(\tilde{\alpha}\). Also we obtain the \(\alpha\)-, \(\beta\)- and \(\gamma\)-duals of these sets.


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ISRP Style

Ugur Kadak, P. Baliarsingh, On certain Euler difference sequence spaces of fractional order and related dual properties, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 6, 997--1004

AMA Style

Kadak Ugur, Baliarsingh P., On certain Euler difference sequence spaces of fractional order and related dual properties. J. Nonlinear Sci. Appl. (2015); 8(6):997--1004

Chicago/Turabian Style

Kadak, Ugur, Baliarsingh, P.. "On certain Euler difference sequence spaces of fractional order and related dual properties." Journal of Nonlinear Sciences and Applications, 8, no. 6 (2015): 997--1004


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