summary:We propose an extended version of the Kurzweil integral which contains both the Young and the Kurzweil integral as special cases. The construction is based on a reduction of the class of $\delta $-fine partitions by excluding small sets
summary:In 1990, Hönig proved that the linear Volterra integral equation \[ x\left( t\right) -\,(K)\...
summary:This paper presents a Komlós theorem that extends to the case of the set-valued Henstock-Kur...
The Kurzweil integral technique is applied to a class of rate independent processes with convex ener...
summary:We propose an extended version of the Kurzweil integral which contains both the Young and th...
summary:It is shown that there exist a continuous function $f$ and a regulated function $g$ defined ...
summary:We slightly modify the definition of the Kurzweil integral and prove that it still gives the...
summary:It is shown that if $g$ is of bounded variation in the sense of Hardy-Krause on ${\mathop {\...
summary:Riemann sums based on $\delta $-fine partitions are illustrated with a Maple procedure
summary:Results on integration by parts and integration by substitution for the variational integral...
summary:A general concept of integral is presented in the form given by S. Saks in his famous book ...
summary:A workable nonstandard definition of the Kurzweil-Henstock integral is given via a Daniell i...
summary:In this paper a full totalization is presented of the Kurzweil-Henstock integral in the mult...
summary:We use an elementary method to prove that each $BV$ function is a multiplier for the $C$-int...
summary:In this paper we show that the measure generated by the indefinite Henstock-Kurzweil integra...
summary:This work is a continuation of the paper (Š. Schwabik: General integration and extensions I,...
summary:In 1990, Hönig proved that the linear Volterra integral equation \[ x\left( t\right) -\,(K)\...
summary:This paper presents a Komlós theorem that extends to the case of the set-valued Henstock-Kur...
The Kurzweil integral technique is applied to a class of rate independent processes with convex ener...
summary:We propose an extended version of the Kurzweil integral which contains both the Young and th...
summary:It is shown that there exist a continuous function $f$ and a regulated function $g$ defined ...
summary:We slightly modify the definition of the Kurzweil integral and prove that it still gives the...
summary:It is shown that if $g$ is of bounded variation in the sense of Hardy-Krause on ${\mathop {\...
summary:Riemann sums based on $\delta $-fine partitions are illustrated with a Maple procedure
summary:Results on integration by parts and integration by substitution for the variational integral...
summary:A general concept of integral is presented in the form given by S. Saks in his famous book ...
summary:A workable nonstandard definition of the Kurzweil-Henstock integral is given via a Daniell i...
summary:In this paper a full totalization is presented of the Kurzweil-Henstock integral in the mult...
summary:We use an elementary method to prove that each $BV$ function is a multiplier for the $C$-int...
summary:In this paper we show that the measure generated by the indefinite Henstock-Kurzweil integra...
summary:This work is a continuation of the paper (Š. Schwabik: General integration and extensions I,...
summary:In 1990, Hönig proved that the linear Volterra integral equation \[ x\left( t\right) -\,(K)\...
summary:This paper presents a Komlós theorem that extends to the case of the set-valued Henstock-Kur...
The Kurzweil integral technique is applied to a class of rate independent processes with convex ener...
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