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ACOMS+ 및 학술지 리포지터리 설명회

  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
  • 2024년 07월 03일(수) 13:30
 

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De, U.C.(Department of Mathematics, University Of Kalyani) ; Matsuyama, Y.(Department of Mathematics, Faculty Of Science And Engineering, Chuo University) ; Sengupta, Anup-Kumar(Department of Mathematics, Bidhannagar College) pp.175-187
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Abstract

The purpose of the present paper is to study the generalized CR-sub manifold of a T-manifold. After preliminaries we have studied the integrability of the distributions and obtained the conditions for integrability. Then geometry of leaves are being studied. Finally it is proved that every totally umbilical generalized CR-submanifold of a T-manifold is totally geodesic.

Qi, Feng(Department of Applied Mathematics and Informatics, Research Institute of Applied Mathematics, Henan Polytechnoc University) ; Luo, Qiu-Ming(Department of Mathematcis, Jiaozuo University) ; Guo, Bai-Ni(Department of Applied Mathematics, and Informatics, Research Institute of Applied Mathematics, Henan Polytechnic University) pp.189-196
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In this article, using the L'Hospital rule, mathematical induction, the trigonometric power formulae and integration by parts, some integral formulae for the improper integrals <TEX>${\int}_0^{\infty}$</TEX>[sin<TEX>$^{2m}({\alpha}x)]/(x^{2n})dx$</TEX> AND <TEX>${\int}_0^{\infty}$</TEX>[sin<TEX>$^{2m+1}({\alpha}x)]/(x^{2n+1})dx$</TEX> are established, where m <TEX>$\geq$</TEX> n are all positive integers and <TEX>$\alpha$</TEX><TEX>$\neq$</TEX> 0.

최영우(대구가톨릭대학교) ; Eunkyung Choe(대구가톨릭대학교) pp.197-206
Lee, Byung-Kwon(Department of Mathematic, University of Inchon) ; Yang, Mee-Hyea(Department of Mathematic, University of Inchon) pp.207-215
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Let W(z) be a power series with operator coefficients such that multiplication by W(z) is contractive in extC(z). The overlapping space <TEX>$\varepsilon$</TEX>(W) of D(W) in C(z) is a Herglotz space with Herglotz function <TEX>$\varphi$</TEX>(z) which satisfies <TEX>$\varphi$</TEX>(z) + <TEX>${\varphi}^*(z^{-1})$</TEX> = 2[1-W<TEX>$^*(z^{-1})W(z)]$</TEX>.

Park, Chun-Kee(Department of Mathematics, Kangwon NationalUniversity) ; Min, Won-Keun(Department of Mathematics, Kangwon NationalUniversity) pp.217-229
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In this paper, we introduce the concepts of interior of a fuzzy set and several types of fuzzy compactness and fuzzy RS-compactness in a redefined fuzzy topological space and investigate their properties.

Lee, Byung-Soo(Department of Matematics, Kyungsung University) ; Lee, Bok-Doo(Department of Mathematics, Kyungsung University) pp.231-242
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In this paper, we introduce weakly relaxed <TEX>$\alpha$</TEX>-pseudomonotonicity and weakly relaxed <TEX>$\alpha$</TEX>-semi-pseudomonotonicity of set-valued maps. Using the KKM technique, we obtain existence of solutions to the variational-like inequalities with weakly relaxed <TEX>$\alpha$</TEX>-pseudomor.otone set-valued maps in reflexive Banach spaces. We also present the solvability of the variational-like inequalities with weakly relaxed <TEX>$\alpha$</TEX>-semi-pseudomonotone set-valued maps in arbitrary Banach spaces using Kakutani-Fan-Glicksberg fixed point theorem.

Hur, Kul(Division of Mathematics And Informational Statistics, Institute of Basic Natural Science, Wonkwang University) ; Kim, Jun-Hui(Division Of Mathematics And Informational Statistics, Institute of Basic Natural Science, Wonkwang University) ; Ryou, Jang-Hyun(Bong Young Girls'Middle School) pp.243-265
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In this paper, we introduce the fundamental concepts of intuitionistic fuzzy Q-neighborhood, intuitionistic Q-first axiom of countability, intuitionistic first axiom of countability, intuitionistic fuzzy closure operator, intuitionistic fuzzy boundary point and intuitionistic fuzzy accumulation point and investigate some of their properties.

한국수학교육학회지시리즈B:순수및응용수학