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An extension of Stieltjes-Young integrals
https://doi.org/10.24517/00011134
https://doi.org/10.24517/0001113443e2dd1a-0693-492f-bdef-acb3d90dc667
名前 / ファイル | ライセンス | アクション |
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AA00835991-48-01_02-001.pdf (376.7 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2017-10-03 | |||||
タイトル | ||||||
タイトル | An extension of Stieltjes-Young integrals | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | departmental bulletin paper | |||||
ID登録 | ||||||
ID登録 | 10.24517/00011134 | |||||
ID登録タイプ | JaLC | |||||
著者 |
Nakao, Shintaro
× Nakao, Shintaro |
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著者別表示 |
中尾, 愼太郎
× 中尾, 愼太郎 |
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提供者所属 | ||||||
内容記述タイプ | Other | |||||
内容記述 | Department of Mathematics, Faculty of Science, Kanazawa University. | |||||
書誌情報 |
Science reports of the Kanazawa University = 金沢大学理科報告 巻 48, 号 1-2, p. 1-3, 発行日 2004-01-01 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0022-8338 | |||||
その他の識別子 | ||||||
内容記述タイプ | Other | |||||
内容記述 | AA00835991 | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Let ƒモ(t) and f(t) be real-valued functions defined on a closed interval [a, b]. The Riemann-Stieltjes integral of f with respect to ƒモ is usually denoted by [numerical formula] When ƒモ(x) is of bounded variation on the interval [a, b], we can treat this integral in the framework of measure theory. Let p and q are positive numbers such that [numerical formula] L. C. Young showed that the integral [numerical formula] in the case that f(t) and ƒモ(t) have finite mean variation of order p and q, respectively. In this paper we shall try to extend the Stieltjes-Young integration theory when f(t) and ƒモ(t) are stochastic processes. |