Open AccessA study of Nörlund ideal convergent sequence spaces
Author(s) -
Asif Khan,
A A Sameera Abdullah,
Kamal Alshlool M.A.S.
Publication year - 2021
Publication title -
yugoslav journal of operations research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.221
H-Index - 21
eISSN - 1820-743X
pISSN - 0354-0243
DOI - 10.2298/yjor200716044k
Subject(s) - mathematics , ideal (ethics) , sequence (biology) , limit of a sequence , convergence (economics) , sequence space , algebraic number , domain (mathematical analysis) , pure mathematics , space (punctuation) , matrix (chemical analysis) , combinatorics , discrete mathematics , algebra over a field , computer science , mathematical analysis , banach space , epistemology , limit (mathematics) , philosophy , genetics , economics , biology , economic growth , operating system , materials science , composite material
The N?rlund matrix Nt in the theory of sequence space was firstly used by Wang. In this paper, by using the N?rlund mean Nt and the notion of ideal convergence, we introduce some new sequence spaces cI 0(Nt), cI (Nt), and lI?(Nt) as a domain of N?rlund mean. We study some topological and algebraic properties on these spaces. Further, some inclusion concerning these spaces are discussed.