Several comments on the Henstock-Kurzweil and McShane integrals of vector-valued functions

被引：6
|
作者：
Naralenkov, Kirill [1 ]
机构：
[1] Moscow State Inst Int Relat, Dept Math Methods & Informat Technol, Moscow 119454, Russia
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 2011年 / 61卷 / 04期
关键词：
Henstock-Kurzweil integral; McShane integral; Pettis integral; AC; AC(*); and AC(delta) functions; Alexiewicz norm;
D O I：
10.1007/s10587-011-0050-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We make some comments on the problem of how the Henstock-Kurzweil integral extends the McShane integral for vector-valued functions from the descriptive point of view.
引用
收藏
页码：1091 / 1106
页数：16
相关论文
共 50 条
  • [21] Henstock and McShane integrals for Banach-valued functions
    Solodov, AP
    MATHEMATICAL NOTES, 1999, 65 (5-6) : 723 - 730
  • [22] The McShane, PU and Henstock integrals of Banach valued functions
    Di Piazza, L
    Marraffa, V
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2002, 52 (03) : 609 - 633
  • [23] The McShane, PU and Henstock integrals of Banach valued functions
    L. Di Piazza
    V. Marraffa
    Czechoslovak Mathematical Journal, 2002, 52 : 609 - 633
  • [24] Henstock and McShane integrals for Banach-valued functions
    A. P. Solodov
    Mathematical Notes, 1999, 65 : 723 - 730
  • [25] ON KURZWEIL-HENSTOCK-PETTIS AND KURZWEIL-HENSTOCK INTEGRALS OF BANACH SPACE-VALUED FUNCTIONS
    Ye Guoju
    TAIWANESE JOURNAL OF MATHEMATICS, 2010, 14 (01): : 213 - 222
  • [26] On the Henstock-Kurzweil integral for Riesz-space-valued functions on time scales
    You, Xuexiao
    Zhao, Dafang
    Torresd, Delfim F. M.
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (05): : 2487 - 2500
  • [27] The set of primitives of Henstock-Kurzweil integrable functions as a convergence vector space
    Kurzweil, J
    TATRA MOUNTAINS MATHEMATICAL PUBLICATIONS, VOL 14, 1998: REAL FUNCTIONS, 1998, : 29 - 37
  • [28] Cauchy Criterion for the Henstock-Kurzweil Integrability of Fuzzy Number-Valued Functions
    Herawan, Tutut
    Abdullah, Zailani
    Chiroma, Haruna
    Sari, Eka Novita
    Ghazali, Rozaida
    Nawi, Nazri Mohd
    2014 INTERNATIONAL CONFERENCE ON ADVANCES IN COMPUTING, COMMUNICATIONS AND INFORMATICS (ICACCI), 2014, : 1329 - 1333
  • [29] Every absolutely Henstock-Kurzweil integrable function is McShane integrable: An alternative proof
    Lee, TY
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2004, 34 (04) : 1353 - 1365
  • [30] THE HENSTOCK-KURZWEIL APPROACH TO YOUNG INTEGRALS WITH INTEGRATORS IN BV phi
    Varayu, Boonpogkrong
    Chew, Tuan Seng
    MATHEMATICA BOHEMICA, 2006, 131 (03): : 233 - 260
12345