Matrix transforms of A-statistically convergent sequences with speed | Zendy

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Matrix transforms of A-statistically convergent sequences with speed

Author(s) -

Ants Aasma

Publication year - 2013

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/fil1308385a

Subject(s) - mathematics , sequence (biology) , monotonic function , matrix (chemical analysis) , convergence (economics) , class (philosophy) , set (abstract data type) , combinatorics , sequence space , limit of a sequence , discrete mathematics , mathematical analysis , banach space , artificial intelligence , genetics , materials science , limit (mathematics) , computer science , economics , composite material , biology , programming language , economic growth

Let X,Y be sequence spaces and (X,Y) the set of all matrices mapping X into Y. Let A be a non-negative regular matrix and λ a speed, i.e. a positive monotonically increasing sequence. In this paper the notion of A-statistical convergence with speed λ is introduced and the class of matrices (st λ \ X,Y), where st λ is the set of all A-statistically convergent sequences with speed λ, is described.

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