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.
Keywords: Nörlund matrix, matrix transformation, Nörlund $I$-convergence, Nörlund $I$-Cauchy, Nörlund $I$-bounded.
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/
@article{YJOR_2021_31_4_a3,
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}},
journal = {Yugoslav journal of operations research},
pages = {483 },
year = {2021},
volume = {31},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/YJOR_2021_31_4_a3/}
}
TY - JOUR AU - Vakeel A. Khan AU - Sameera A. A. Abdullah AU - Kamal M. A. S. Alshlool TI - A Study of Nörlund Ideal Convergent Sequence Spaces JO - Yugoslav journal of operations research PY - 2021 SP - 483 VL - 31 IS - 4 UR - http://geodesic.mathdoc.fr/item/YJOR_2021_31_4_a3/ LA - en ID - YJOR_2021_31_4_a3 ER -