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Convex set에 관련된 Convex function의 연구
嚴章鎰 부산대학교 1977 論文集 Vol.23 No.2
Let X be a compact set of a locally convex hausdorff space Especially when X is a choquet sipmlex many equivalent conditions of Edward's conditions are obtained using the radon measures. We prove some relations, aualogue to the Edward's condition, of family of lower semi-continuous functions, those of upper semi-continuous functions and affine continuous functions defined on the convex compact sets.
嚴章鎰 부산대학교 학생생활연구소 1965 硏究報 Vol.1 No.1
The above article is intended to attempt to help adjust the difficulties in the questions of mathematics by studyinrg them statistically which are presented of the entrence examination of our University and grasping the knowledge of mathematics that high school students have, particulary observing the influence of the guestions subjective and objective on the answers to them in forming most pertinent questions.
嚴章鎰,崔載玉 부산대학교 1978 論文集 Vol.26 No.2
It is the aim of the authors to introduce the conception of asymptotic expansion and develope some basic properties of asymptotics. At first in §1, we explain fundamental conception of asymptotic theory by expanding the improper integral ∞ Ih= ∫ x-2h eW2-X2 dx w Where w>o and h is a non negative integer. after some steps of integral by parts we arrive the asymptotic expansion (5), and this expansion gives the asymptotic behavior of the integral Ⅰ. Secondly we get recurrence formulae for two improper integrals. ∞ sin x In= ∫ ------- dx o (w+x)n and ∞ cos x In*= ∫------- dx o (w+x)n In §2 we define asymptotic equality and proved that the notion of asympototic equality is reflexive, symmetric and transitive. Finally we proved sum and difference theorem and product theorem.