New type of generalized difference sequence space of non-absolute type and some matrix transformations | Zendy

M. ‎Mursaleen | Zendy; Ab. Hamid Ganie | Zendy; Neyaz A. Sheikh | Zendy

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New type of generalized difference sequence space of non-absolute type and some matrix transformations

Author(s) -

M. ‎Mursaleen,

Ab. Hamid Ganie,

Neyaz A. Sheikh

Publication year - 2014

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1407381m

Subject(s) - mathematics , type (biology) , sequence (biology) , sequence space , space (punctuation) , matrix (chemical analysis) , dual polyhedron , pure mathematics , basis (linear algebra) , metric (unit) , combinatorics , matrix difference equation , mathematical analysis , geometry , banach space , ecology , linguistics , philosophy , genetics , materials science , operations management , economics , composite material , biology , riccati equation , differential equation

In the present paper, we introduce a new dierence sequence space rqB(u; p) by using the Riesz mean and the dierence matrix. We show rqB(u; p) is a complete linear metric space and is linearly isomorphic to the space l(p). We also compute its alpha-, beta- and gama-duals. Furthermore, we constructed the basis of rqB(u; p) and characterize some matrix class (rqB(u; p); l1) .

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