컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0577 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Analysis (real / complex / harmonic analysis) (SS-08) |
| 영문제목 (Title(Eng.)) |
Regulated function on a cell in $n$-dimensional space to Hilbert space |
| 저자(Author(s)) |
Ch. Rini Indrati1 Dept. of Mathematics FMIPA UGM1 |
| 초록본문(Abstract) | Regulated function on a cell in $n$-dimensional space to Hilbert space In this paper we generalize some characteristics of regulated function from a cell in $n$-dimensional Euclidean space $R^n$ to Hilbert space. Based on those characteristics, we generalize the Henstock-Stieltjes type of the integral of a function from a cell in $R^n$ to $X$. We will give some sufficient conditions of a regulated function to have its integral and a function to have its integral with respect to a regulated function. Some properties of the integral and some convergence theorems will be stated. Keywords: regulated function, Henstock-Stieltjes integral, Hilbert space. |
| 분류기호 (MSC number(s)) |
26A16 |
| 키워드(Keyword(s)) | regulated function, Henstock-Stieltjes integral, Hilbert space |
| 강연 형태 (Language of Session (Talk)) |
English |