Geodesic
A Study of Nörlund Ideal Convergent Sequence Spaces
Yugoslav journal of operations research, Tome 31 (2021) no. 4, p. 483

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The Nörlund matrix $N^t$ in the theory of sequence space was firstly used by Wang. In this paper, by using the Nörlund mean $N^t$ and the notion of ideal convergence, we introduce some new sequence spaces $c_0^I(N^t)$, $c^I(N^t)$ and $c_{ıfty}^I(N^t)$ as a domain of Nörlund mean. We study some topological and algebraic properties on these spaces. Further, some inclusion concerning these spaces are discussed.
Classification : 40A35;46A45, 40G99
Keywords: Nörlund matrix, matrix transformation, Nörlund $I$-convergence, Nörlund $I$-Cauchy, Nörlund $I$-bounded. 
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     author = {Vakeel A. Khan and Sameera A. A. Abdullah and Kamal M. A. S. Alshlool},
     title = {A {Study} of {N\"orlund} {Ideal} {Convergent} {Sequence} {Spaces}},
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     year = {2021},
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Vakeel A. Khan; Sameera A. A. Abdullah; Kamal M. A. S. Alshlool. A Study of Nörlund Ideal Convergent Sequence Spaces. Yugoslav journal of operations research, Tome 31 (2021) no. 4, p. 483 . http://geodesic.mathdoc.fr/item/YJOR_2021_31_4_a3/