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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



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© Steklov Math. Inst. of RAS, 2024