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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, Uday Chand(Department of Pure Mathematics, University of Calcutta) ; Pal, Prajjwal(Chakdaha Co-operative Colony Vidyayatan(H.S)) pp.53-68 https://doi.org/10.7468/jksmeb.2017.24.2.53
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Abstract

The object of the present paper is to study generalized Z-recurrent manifolds. Some geometric properties of generalized Z-recurrent manifolds have been studied under certain curvature conditions. Finally, we give an example of a generalized Z-recurrent manifold.

Han, Seungwoo(Gyeonggi Science High School) ; Kim, Seon-Hong(Department of Mathematics, Sookmyung Women's University) ; Park, Jeonghun(Gyeonggi Science High School) pp.69-77 https://doi.org/10.7468/jksmeb.2017.24.2.69
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Abstract

If q(z) is a polynomial of degree n with all zeros in the unit circle, then the self-reciprocal polynomial <TEX>$q(z)+x^nq(1/z)$</TEX> has all its zeros on the unit circle. One might naturally ask: where are the zeros of <TEX>$q(z)+x^nq(1/z)$</TEX> located if q(z) has different zero distribution from the unit circle? In this paper, we study this question when <TEX>$q(z)=(z-1)^{n-k}(z-1-c_1){\cdots}(z-1-c_k)+(z+1)^{n-k}(z+1+c_1){\cdots}(z+1+c_k)$</TEX>, where <TEX>$c_j$</TEX> > 0 for each j, and q(z) is a 'zeros dragged' polynomial from <TEX>$(z-1)^n+(z+1)^n$</TEX> whose all zeros lie on the imaginary axis.

Deshpande, Bhavana(Department of Mathematics, B. S. Govt. P. G. College) ; Handa, Amrish(Department of Mathematics, Govt. P. G. Arts and Science College) pp.79-98 https://doi.org/10.7468/jksmeb.2017.24.2.79
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Abstract

We establish a coupled coincidence point theorem for generalized compatible pair of mappings <TEX>$F,G:X{\times}X{\rightarrow}X$</TEX> under generalized symmetric Meir-Keeler contraction on a partially ordered metric space. We also deduce certain coupled fixed point results without mixed monotone property of <TEX>$F:X{\times}X{\rightarrow}X$</TEX>. An example supporting to our result has also been cited. As an application the solution of integral equations are obtain here to illustrate the usability of the obtained results. We improve, extend and generalize several known results.

Shin, Dong Yun(Department of Mathematics, University of Seoul) ; Lee, Jung Rye(Department of Mathematics, Daejin University) ; Seo, Jeong Pil(Ohsang High School) pp.99-107 https://doi.org/10.7468/jksmeb.2017.24.2.99
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Abstract

Shokri et al. [14] proved the Hyers-Ulam stability of bihomomorphisms and biderivations by using the direct method. It is easy to show that the definition of biderivations on normed 3-Lie algebras is meaningless and so the results of [14] are meaningless. In this paper, we correct the definition of biderivations and the statements of the results in [14], and prove the corrected theorems.

Cui, Yinhua(Department of Mathematics, Yanbian University) ; Hyun, Yuntak(Department of Mathematics, Hanyang University) ; Yun, Sungsik(Department of Financial Mathematics, Hanshin University) pp.109-127 https://doi.org/10.7468/jksmeb.2017.24.2.109
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Abstract

In this paper, we solve the following quadratic <TEX>${\rho}-functional$</TEX> inequalities <TEX>${\parallel}f({\frac{x+y+z}{2}})+f({\frac{x-y-z}{2}})+f({\frac{y-x-z}{2}})+f({\frac{z-x-y}{2}})-f(x)-f(y)f(z){\parallel}$</TEX> (0.1) <TEX>${\leq}{\parallel}{\rho}(f(x+y+z)+f(x-y-z)+f(y-x-z)+f(z-x-y)-4f(x)-4f(y)-4f(z)){\parallel}$</TEX>, where <TEX>${\rho}$</TEX> is a fixed non-Archimedean number with <TEX>${\mid}{\rho}{\mid}$</TEX> < <TEX>${\frac{1}{{\mid}4{\mid}}}$</TEX>, and <TEX>${\parallel}f(x+y+z)+f(x-y-z)+f(y-x-z)+f(z-x-y)-4f(x)-4f(y)-4f(z){\parallel}$</TEX> (0.2) <TEX>${\leq}{\parallel}{\rho}(f({\frac{x+y+z}{2}})+f({\frac{x-y-z}{2}})+f({\frac{y-x-z}{2}})+f({\frac{z-x-y}{2}})-f(x)-f(y)f(z)){\parallel}$</TEX>, where <TEX>${\rho}$</TEX> is a fixed non-Archimedean number with <TEX>${\mid}{\rho}{\mid}$</TEX> < <TEX>${\mid}8{\mid}$</TEX>. Using the direct method, we prove the Hyers-Ulam stability of the quadratic <TEX>${\rho}-functional$</TEX> inequalities (0.1) and (0.2) in non-Archimedean Banach spaces and prove the Hyers-Ulam stability of quadratic <TEX>${\rho}-functional$</TEX> equations associated with the quadratic <TEX>${\rho}-functional$</TEX> inequalities (0.1) and (0.2) in non-Archimedean Banach spaces.

한국수학교육학회지시리즈B:순수및응용수학