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학술대회/행사
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| 제출번호(No.) | 0480 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Analysis (real / complex / harmonic analysis) (SS-08) |
| 영문제목 (Title(Eng.)) |
On the Henstock-Stieltjes integral in a quasi-Banach space |
| 저자(Author(s)) |
Rolando N. Paluga1 Caraga State University1 |
| 초록본문(Abstract) | In this paper, the Henstock-Stieltjes integral of a function, mapping an interval $[a, b]$ into a Quasi-Banach space, is defined. Results such as uniqueness of the integral, the Cauchy criterion for integrability, sufficient condition for integrability, linearity of the integral, additive property on sub-intervals, and integrability on sub-intervals are presented. Some convergence theorems are also given. |
| 분류기호 (MSC number(s)) |
28B20 |
| 키워드(Keyword(s)) | Henstock-Stieltjes integral, quasii-Banach space |
| 강연 형태 (Language of Session (Talk)) |
English |