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.
Share and Cite
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, 9971004
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):9971004
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): 9971004
Keywords
 Euler sequence spaces of nonabsolute type
 linear operator
 matrix transformations
 \(\alpha\)
 \(\beta\) and \(\gamma\)duals.
MSC
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