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Giselle A. Monteiro (2019)
Mathematica Bohemica
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We present sufficient conditions ensuring Kurzweil-Stieltjes equiintegrability in the case when integrators belong to the class of functions of generalized bounded variation.
Umi Mahnuna Hanung, Milan Tvrdý (2019)
Mathematica Bohemica
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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.
Banaś, Józef (1998)
International Journal of Mathematics and Mathematical Sciences
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Štefan Schwabik (2001)
Mathematica Bohemica
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Integration by parts results concerning Stieltjes integrals for functions with values in Banach spaces are presented. The background of the theory is the Kurzweil approach to integration based on Riemann type integral sums, which leads to the Perron integral.
Milan Tvrdý (1989)
Časopis pro pěstování matematiky
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