New approach to the concept of aᶥ -statistical convergence with the number of alpha | Zendy

Hafize Gümüş | Zendy

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New approach to the concept of aᶥ -statistical convergence with the number of alpha

Author(s) -

Hafize Gümüş

Publication year - 2017

Publication title -

communications faculty of science university of ankara series a1mathematics and statistics

Language(s) - English

Resource type - Journals

ISSN - 1303-5991

DOI - 10.1501/commua1_0000000828

Subject(s) - mathematics , convergence (economics) , generalization , sequence (biology) , matrix (chemical analysis) , limit of a sequence , alpha (finance) , order (exchange) , modes of convergence (annotated index) , pure mathematics , mathematical analysis , statistics , limit (mathematics) , topological space , construct validity , materials science , biology , economics , composite material , genetics , economic growth , psychometrics , topological vector space , isolated point , finance

. Following a very recent approach, we generalize recently introduced summability method, namely, I-statisticalconvergence. We use an infinite matrix of complex numbers and an a number to do this generalization. We call this new convergence as A^I statistical convergence of order a with respect to a sequence of modulus functions. We also define two new spaces by using strong convergence and Ces·ro summability and after giving these descriptions, we investigate their relationship and we obtain some result

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