On the relationships between Stieltjes type integrals of Young, Dushnik and Kurzweil
Mathematica Bohemica, Tome 144 (2019) no. 4, pp. 357-372
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In this paper we explain the relationship between Stieltjes type integrals of Young, Dushnik and Kurzweil for functions with values in Banach spaces. To this aim also several new convergence theorems will be stated and proved.
DOI :
10.21136/MB.2019.0015-19
Classification :
26A36, 26A39, 26A42
Keywords: Kurzweil integral; Young integral; Dushnik integral; Kurzweil-Stieltjes integral; Young-Stieltjes integral; Dushnik-Stieltjes integral; convergence theorem
Keywords: Kurzweil integral; Young integral; Dushnik integral; Kurzweil-Stieltjes integral; Young-Stieltjes integral; Dushnik-Stieltjes integral; convergence theorem
@article{10_21136_MB_2019_0015_19,
author = {Hanung, Umi Mahnuna and Tvrd\'y, Milan},
title = {On the relationships between {Stieltjes} type integrals of {Young,} {Dushnik} and {Kurzweil}},
journal = {Mathematica Bohemica},
pages = {357--372},
publisher = {mathdoc},
volume = {144},
number = {4},
year = {2019},
doi = {10.21136/MB.2019.0015-19},
mrnumber = {4047342},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2019.0015-19/}
}
TY - JOUR AU - Hanung, Umi Mahnuna AU - Tvrdý, Milan TI - On the relationships between Stieltjes type integrals of Young, Dushnik and Kurzweil JO - Mathematica Bohemica PY - 2019 SP - 357 EP - 372 VL - 144 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.2019.0015-19/ DO - 10.21136/MB.2019.0015-19 LA - en ID - 10_21136_MB_2019_0015_19 ER -
%0 Journal Article %A Hanung, Umi Mahnuna %A Tvrdý, Milan %T On the relationships between Stieltjes type integrals of Young, Dushnik and Kurzweil %J Mathematica Bohemica %D 2019 %P 357-372 %V 144 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/MB.2019.0015-19/ %R 10.21136/MB.2019.0015-19 %G en %F 10_21136_MB_2019_0015_19
Hanung, Umi Mahnuna; Tvrdý, Milan. On the relationships between Stieltjes type integrals of Young, Dushnik and Kurzweil. Mathematica Bohemica, Tome 144 (2019) no. 4, pp. 357-372. doi: 10.21136/MB.2019.0015-19
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