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

Kadak, Ugur¹ ; Baliarsingh, P.²

¹ Department of Mathematics, Bozok University, 66100 Yozgat, Turkey
² Department of Mathematics, School of Applied Sciences, KIIT University, India

Journal of nonlinear sciences and its applications, Tome 8 (2015) no. 6, p. 997-1004.

Résumé

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.

Détail

DOI : 10.22436/jnsa.008.06.10

Classification : 46A45, 46A35, 46B45
Keywords: Euler sequence spaces of nonabsolute type, linear operator, matrix transformations, \(\alpha\)-, \(\beta\)- and \(\gamma\)-duals.

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