On matrix methods of convergence of order α in (ℓ)-groups | Zendy

Antonio Boccuto | Zendy; Pratulananda Das | Zendy

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On matrix methods of convergence of order α in (ℓ)-groups

Author(s) -

Antonio Boccuto,

Pratulananda Das

Publication year - 2015

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/fil1509069b

Subject(s) - mathematics , convergence (economics) , matrix (chemical analysis) , modes of convergence (annotated index) , cauchy's convergence test , order (exchange) , cauchy distribution , convergence tests , pure mathematics , compact convergence , normal convergence , space (punctuation) , rate of convergence , mathematical analysis , channel (broadcasting) , philosophy , materials science , cauchy boundary condition , isolated point , boundary value problem , economic growth , topological vector space , linguistics , engineering , composite material , topological space , free boundary problem , finance , electrical engineering , economics

We introduce a concept of convergence of order , with 0< 1, with respect to a summability matrix method A for sequences (which generalizes the notion of statistical convergence of order ), taking values in (')-groups. Some main properties and di erences with the classical A-convergence are investi- gated. A Cauchy-type criterion and a closedness result for the space of convergent sequences according our notion is proved.

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