• 한국수학교육학회지시리즈B:순수및응용수학
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• 제6권2호
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• pp.103-111
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• 1999

We find some conditions under which G(f)-sequence of a CW-pair (X, A) is exact. And we also introduce a G(f)-sequence for a CW-triple (X, A, B) and examine when the sequence is exact.

• Journal of applied mathematics & informatics
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• 제38권3_4호
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• pp.201-209
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• 2020

We introduce and study some basic properties of rough I-convergent of triple sequence spaces and also study the set of all rough I-limits of a triple sequence spaces.

• Korean Journal of Mathematics
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• 제31권3호
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• pp.349-361
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• 2023

In this article, we construct lacunary ∆^m-statistical convergence for triple sequences within the context of intuitionistic fuzzy n-normed spaces (IFnNS). For lacunary ∆^m-statistical convergence of triple sequence in IFnNS, we demonstrate numerous results. For this innovative notion of convergence, we further built lacunary ∆^m-statistical Cauchy sequences and offered the Cauchy convergence criterion.

• 호남수학학술지
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• 제46권2호
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• pp.291-306
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• 2024

The concept of lacunary statistical convergence of triple sequences with respect to gradual 2-normed linear spaces is introduced in this research. We learn about its link to some inclusion and fundamental properties. The notion of lacunary statistical Cauchy triple sequences is introduced in the conclusion, and it is demonstrated that it is equivalent to the idea of lacunary statistical convergence.

• 호남수학학술지
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• 제43권2호
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• pp.343-357
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• 2021

In the present paper, we introduce the concepts of $\mathcal{I}$-asymptotically statistical $\tilde{\phi}$-equivalence and $\mathcal{I}$-asymptotically lacunary statistical $\tilde{\phi}$-equivalence for triple sequences. Moreover, we give the relations between these new notions.

• Journal of applied mathematics & informatics
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• 제40권3_4호
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• pp.433-444
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• 2022

In the present paper, we introduce some new notions of Wijsman ${\mathcal{I}}$-statistical convergence with the use of Orlicz function, lacunary sequence and triple sequences of sets, and obtain some analogous results from the new definitions point of views.

• Journal of Applied and Pure Mathematics
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• 제4권1_2호
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• pp.37-50
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• 2022

In this article we define and study the notions of $\mathcal{I}$-convergence and $\mathcal{I}$-Cauchy of triple sequences in the topology induced by random 2-normed spaces and prove some theorems based on them.

• 한국통신학회논문지
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• 제29권8C호
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• pp.1025-1033
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• 2004

본 논문에서는 PN(Pseudo Noise) 부호에 대한 정보 없이 확산대역 신호를 검출하는 방식을 다룬다. 이러한 검출 방식은 군용 통신에서 사용되거나 주파수 사용 영역을 관리(spectrum surveillance)하는 경우에 있어 중요하게 다루어 질 수 있다. 검출 내용은 주어진 대역폭 내에 확산대역 신호가 존재하는지의 여부, PN 부호의 길이 및 PN부호 구분(identification)이다. 고차 통계적 신호처리 기법 중 하나인 3차 상관함수는 사전 정보가 없는 확산대역 신호의 검출에 유용하게 사용될 수 있다. 본 논문에서는 실제 확산대역 신호를 검출하는데 있어 3차 상관함수의 결과 값만을 이용할 경우 발생하는 문제점을 지적하고, 이러한 문제점을 극복하는 동시에 성능이 향상된 확산대역 신호 검출 방식을 제안한다.

• Journal of applied mathematics & informatics
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• 제37권5_6호
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• pp.459-467
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• 2019

In this work, via Orlicz functions, we have obtained a generalization of rough statistical convergence of asymptotically equivalent triple sequences a new non-matrix convergence method, which is intermediate between the ordinary convergence and the rough statistical convergence. We also have examined some inclusion relations related to this concept. We obtain the results are non negative real numbers with respect to the partial order on the set of real numbers.

• 대한수학회지
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• 제35권1호
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• pp.149-164
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• 1998

We study the homology of the tripe loop space of the exceptional Lie group $F_4$ by exploiting the spectral sequences and the homology operators.