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ISSN : 1226-0657
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Vol.10 No.1
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.
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.
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.
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.
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).