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Problemy Analiza — Issues of Analysis, 2022, Volume 11(29), Issue 3, Pages 15–29
DOI: https://doi.org/10.15393/j3.art.2022.11930 (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
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DOI: https://doi.org/10.15393/j3.art.2022.11930
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.
Funding agency Grant number
UGC-SRF 16-6(DEC. 2018)/2019(NET/CSIR))
The authors thank the anonymous referees for their constructive suggestions that helped improving the quality of the paper. The first author is grateful to the University Grants Commission, India for their fellowship funding under the UGC-SRF scheme (F.No.16-6(DEC. 2018)/2019(NET/CSIR)) during the preparation of this paper.
Received: 04.06.2022
Revised: 01.09.2022
Accepted: 02.09.2022
Bibliographic databases:
Document Type: Article
UDC: 517.521
MSC: 40A35, 40A05
Language: English
Citation: C. Choudhury, S. Debnath, “On $\mathcal{I^K}$-supremum, $\mathcal{I^K}$-infimum and related results”, Probl. Anal. Issues Anal., 11(29):3 (2022), 15–29
Citation in format AMSBIB
\Bibitem{ChoDeb22}
\by C.~Choudhury, S.~Debnath
\paper On $\mathcal{I^K}$-supremum, $\mathcal{I^K}$-infimum and related results
\jour Probl. Anal. Issues Anal.
\yr 2022
\vol 11(29)
\issue 3
\pages 15--29
\mathnet{http://mi.mathnet.ru/pa357}
\crossref{https://doi.org/10.15393/j3.art.2022.11930}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4507770}
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