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

下载

页码：1091 / 1106

页数：16

共 50 条

[1] Several comments on the Henstock-Kurzweil and McShane integrals of vector-valued functions
Kirill Naralenkov
Czechoslovak Mathematical Journal, 2011, 61 : 1091 - 1106
[2] The New Extensions of the Henstock-Kurzweil and the McShane Integrals of Vector-Valued Functions
Kaliaj, Sokol Bush
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (01)
[3] The New Extensions of the Henstock–Kurzweil and the McShane Integrals of Vector-Valued Functions
Sokol Bush Kaliaj
Mediterranean Journal of Mathematics, 2018, 15
[4] Convergence and Comparison Results for Henstock-Kurzweil and McShane Integrable Vector-Valued Functions
Heikkila, S.
Ye, Guoju
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2011, 35 (03) : 407 - 418
[5] THE HENSTOCK AND MCSHANE INTEGRALS OF VECTOR-VALUED FUNCTIONS
FREMLIN, DH
ILLINOIS JOURNAL OF MATHEMATICS, 1994, 38 (03) : 471 - 479
[6] On Henstock-Kurzweil and McShane integrals of Banach space-valued functions
Ye, Guoju
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 330 (02) : 753 - 765
[7] A Henstock-Kurzweil integrable vector-valued function which is not McShane integrable on any portion
Naralenkov, K. M.
QUAESTIONES MATHEMATICAE, 2012, 35 (01) : 11 - 21
[8] Description of the limit set of Henstock-Kurzweil integral sums of vector-valued functions
Caponetti, D.
Di Piazza, L.
Kadets, V.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 421 (02) : 1151 - 1162
[9] Dunford–Henstock–Kurzweil and Dunford–McShane Integrals of Vector-Valued Functions Defined on m-Dimensional Bounded Sets
Sokol Bush Kaliaj
Mediterranean Journal of Mathematics, 2020, 17
[10] BANACH-VALUED HENSTOCK-KURZWEIL INTEGRABLE FUNCTIONS ARE MCSHANE INTEGRABLE ON A PORTION
Lee, Tuo-Yeong
MATHEMATICA BOHEMICA, 2005, 130 (04): : 349 - 354

← 1 2 3 4 5 →