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Vol.10 No.1

Xu, Neng ; Yang, Dinggong pp.1-11
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Abstract

In this paper we derive some sufficient conditions for starlikeness and close-to-convexity of order <TEX>${\alpha}$</TEX> of meromorphic functions in the punctured unit disk.

Jin, Dae-Ho pp.13-23
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Abstract

The purpose of this paper is to prove the fundamental existence and uniqueness theorems for lightlike curves in a 6-dimensional semi-Euclidean space Rq of index q, since the general n-dimensional cases are too complicated.

Shin, Seon-Ho pp.25-35
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Abstract

We study equivalent definitions and some categorical properties of completely regular quasi-ordered spaces and zero-dimensional quasi-ordered spaces. Using the o-completely regular (resp. o-zero-dimensional) filters on a completely regular (resp. zero-dimensional) quasi-ordered space, we show that the category COMPOS (resp. ZCOMPOS) of compact (resp. compact zero-dimensional) partially ordered spaces is reflective in the category CRQOS (resp. ZQOS) of completely regular (resp. zero-dimensional) quasi-ordered spaces and continuous isotones.

Kim, Jin-Hwan ; Park, Young-Kou pp.37-47
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Abstract

We will show that any linear perturbation of polynomials that introduces bounded perturbations into the roots of polynomial is some linear combination of the derivatives of a polynomial. And we will derive an absolute root bound functional which is in some sense better than the other known absolute root bound functionals.

Rhee, Hyang-Joo pp.49-56
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Abstract

For (equation omitted) be an ordered <TEX>$\ell$</TEX>(t)-tuple of numbers in{1,2, …,<TEX>$\ell$</TEX>}and let Tt be chosen from a finite composition of orthogonal projections (equation omitted) acting on the normed linear space <TEX>$C_1$</TEX>(X) to closed convex subset <TEX>$S(fi_{j}\;^{t})$</TEX> respectively. In this paper, we study the convergence of the sequence (equation omitted) where (equation omitted).

YuTian(Hebei Normal University) ; CaishunZhang(Hebei Normal University) ; ZhenguoZhang(Hebei Normal University) pp.57-70

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics