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JOURNALS
// Problemy Analiza — Issues of Analysis
// Archive
Probl. Anal. Issues Anal.,
2022
Volume 11(29),
Issue 3,
Pages
15–29
(Mi pa357)
On
$\mathcal{I^K}$
-supremum,
$\mathcal{I^K}$
-infimum and related results
C. Choudhury
,
S. Debnath
Department of Mathematics, Tripura University (A Central University), Suryamaninagar-799022, Agartala, India
Abstract:
In this paper, we introduce the concept of
$\mathcal{I^K}$
-supremum,
$\mathcal{I^K}$
-infimum,
$\mathcal{I^K}-$
limit superior, and
$\mathcal{I^K}-$
limit inferior and investigate a few implication relationships between them.
Keywords:
ideal, filter,
$\mathcal{I^K}$
-supremum,
$\mathcal{I^K}$
-infimum,
$\mathcal{I^K}$
-limit superior,
$\mathcal{I^K}$
-limit inferior.
UDC:
517.521
MSC:
40A35
,
40A05
Received:
04.06.2022
Revised:
01.09.2022
Accepted:
02.09.2022
Language:
English
DOI:
10.15393/j3.art.2022.11930
Fulltext:
PDF file (617 kB)
References
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Steklov Math. Inst. of RAS
, 2024