• 대한수학회보
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• 제40권4호
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• pp.641-648
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• 2003

In this paper, we characterize the compact sets full-invariant properties, dual invariant properties and quasi full invariant properties in a class of infinite matrix algebras.

• Kyungpook Mathematical Journal
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• 제59권2호
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• pp.233-240
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• 2019

In the present paper, absolute matrix summability of infinite series is studied. A new theorem concerning absolute matrix summability factors, which generalizes a known theorem dealing with absolute Riesz summability factors of infinite series, is proved using almost increasing and ${\delta}$-quasi-monotone sequences. Also, a result dealing with absolute $Ces{\grave{a}}ro$ summability is given.

• 한국정보통신학회논문지
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• 제12권3호
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• pp.407-413
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• 2008

본 논문에서는 무한한 도체 플랜지가 장착된 개방형 직사각형 도파관의 구조에 대한 산란 행렬을 구하였다. 산란 행렬의 정확도를 검증하기 위해서 산란 행렬로부터 부하 어드미던스 $Y_{L,10}$를 계산하여 기존의 논문 결과와 비교하고, TE와 TM모드 수에 증가에 따른 산란 행렬의 수렴도를 조사하여 본 논문에서 제시한 산란 행렬 방법의 타당성을 확인하였다. 그리고 도파관의 개구면을 통하여 자유공간으로 방사되는 패턴을 제시하였다.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1989년도 하계종합학술대회 논문집
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• pp.216-220
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• 1989

Direct calculation algorithm for the elements of A matrix is suggested for a single machine connected to the infinite bus. Excitation system and power system stabilizer are included. When A matrix is partitioned into seven submatrices, we can identify the location of non-zero elements and formula for each element. No matrix inversion and multiplication are necessary.

• 대한수학회논문집
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• 제31권3호
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• pp.603-611
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• 2016

In this paper, we show that if $\mathcal{A}$ is a differential subalgebra of Banach algebras $\mathcal{B}({\ell}^r)$, $1{\leq}r{\leq}{\infty}$, then solutions of the infinite dimensional linear system associated with a matrix in $\mathcal{A}$ have its p-exponential stability being equivalent to each other for different $1{\leq}p{\leq}{\infty}$.

• Journal of applied mathematics & informatics
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• 제39권1_2호
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• pp.117-124
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• 2021

We obtain a new matrix generalization result dealing with weighted mean summability of infinite series by using a new general class of power increasing sequences obtained by Sulaiman [9]. This theorem also includes some new and known results dealing with some basic summability methods.

• Journal of applied mathematics & informatics
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• 제41권1호
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• pp.1-9
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• 2023

In the present paper, two theorems on absolute matrix summability of infinite series are generalized for the 𝜑 - |A, p_n|_k summability method using quasi 𝛽-power increasing sequences instead of almost increasing sequences.

• Korean Journal of Mathematics
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• 제32권3호
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• pp.521-531
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• 2024

The main purpose of this study is to shed light on whether new types of uncertain variable sequences can be defined with the help of an infinite matrix. For this purpose, the first-order Cesàro matrix was used as an infinite matrix, and new types of uncertain variable sequences, called Cesàro-type uncertain variable sequences, were obtained. Theorems about uncertain variable sequences of Cesàro type have been included in this study, and some comparisons have been made. Thus, the gaps in the existing literature were filled.

• 대한수학회보
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• 제53권2호
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• pp.541-550
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• 2016

In this paper, we introduce a quasi-Banach algebra of infinite matrices, which is inverse-closed in the Banach algebra B(${\ell}^2$) of all bounded operators on ${\ell}^2$.

• 대한기계학회논문집
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• 제5권2호
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• pp.122-130
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• 1981

Equation of equilibrium is derived and solved for an infinite isotropic solid under applied hydrostatic stress which is uniform at large distance, and disturbed by a spherical precipitate which has isotropoc elastic constants dirrerent form those of the matrix. A linear strain hardening behavior of the matrix is assumed, and an elasto-plastic sloution is obtained. The difference of the total strain energy stored inthe infinite solid with and without a precipitate is computed, and compared with that for purely elastic case. Finally the effect of the ratio of the bulk modulus of the precipitate to that of the matrix and the effct of linear strain hardening rate on the plastic zone size and the energy difference are discussed.