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

Kadak, Ugur; Baliarsingh, P.

doi:10.22436/jnsa.008.06.10

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

Atıf İçin Kopyala

Kadak U., Baliarsingh P.

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, cilt.8, sa.6, ss.997-1004, 2015 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 8 Sayı: 6
Basım Tarihi: 2015
Doi Numarası: 10.22436/jnsa.008.06.10
Dergi Adı: JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.997-1004
Yozgat Bozok Üniversitesi Adresli: Evet

Özet

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(((alpha) over tilde))) of order alpha. We investigate their topological structures as well as some interesting results concerning the operator E-r(Delta(((alpha) over tilde))) for a proper fraction (alpha) over tilde. Also we obtain the alpha-, beta- and gamma-duals of these sets.