summary:It is shown that there exist a continuous function $f$ and a regulated function $g$ defined on the interval $[0,1]$ such that $g$ vanishes everywhere except for a countable set, and the $K^*$-integral of $f$ with respect to $g$ does not exist. The problem was motivated by extensions of evolution variational inequalities to the space of regulated functions
In this paper we give necessary and sufficient conditions for the convergence of Kurzweil–Stieltjes ...
summary:We consider the Fourier transform in the space of Henstock-Kurzweil integrable functions. We...
summary:We consider a nonconvex integral inclusion and we prove a Filippov type existence theorem by...
summary:It is shown that there exist a continuous function $f$ and a regulated function $g$ defined ...
summary:We propose an extended version of the Kurzweil integral which contains both the Young and th...
summary:It is shown that if $g$ is of bounded variation in the sense of Hardy-Krause on ${\mathop {\...
summary:Let $[ a,b] $ be an interval in $\mathbb R$ and let $F$ be a real valued function defined at...
summary:We slightly modify the definition of the Kurzweil integral and prove that it still gives the...
summary:Results on integration by parts and integration by substitution for the variational integral...
summary:We use an elementary method to prove that each $BV$ function is a multiplier for the $C$-int...
summary:Given a modulus of continuity $\omega$ and $q \in[1, \infty[ $ then $H_q^\omega$ denotes the...
summary:It is shown that a Banach-valued Henstock-Kurzweil integrable function on an $m$-dimensional...
summary:The classical Bochner integral is compared with the McShane concept of integration based on ...
summary:In the paper we deal with the Kurzweil-Stieltjes integration of functions having values in a...
In this note we consider oscillation of regulated functions. We improve and simplify the proof of th...
In this paper we give necessary and sufficient conditions for the convergence of Kurzweil–Stieltjes ...
summary:We consider the Fourier transform in the space of Henstock-Kurzweil integrable functions. We...
summary:We consider a nonconvex integral inclusion and we prove a Filippov type existence theorem by...
summary:It is shown that there exist a continuous function $f$ and a regulated function $g$ defined ...
summary:We propose an extended version of the Kurzweil integral which contains both the Young and th...
summary:It is shown that if $g$ is of bounded variation in the sense of Hardy-Krause on ${\mathop {\...
summary:Let $[ a,b] $ be an interval in $\mathbb R$ and let $F$ be a real valued function defined at...
summary:We slightly modify the definition of the Kurzweil integral and prove that it still gives the...
summary:Results on integration by parts and integration by substitution for the variational integral...
summary:We use an elementary method to prove that each $BV$ function is a multiplier for the $C$-int...
summary:Given a modulus of continuity $\omega$ and $q \in[1, \infty[ $ then $H_q^\omega$ denotes the...
summary:It is shown that a Banach-valued Henstock-Kurzweil integrable function on an $m$-dimensional...
summary:The classical Bochner integral is compared with the McShane concept of integration based on ...
summary:In the paper we deal with the Kurzweil-Stieltjes integration of functions having values in a...
In this note we consider oscillation of regulated functions. We improve and simplify the proof of th...
In this paper we give necessary and sufficient conditions for the convergence of Kurzweil–Stieltjes ...
summary:We consider the Fourier transform in the space of Henstock-Kurzweil integrable functions. We...
summary:We consider a nonconvex integral inclusion and we prove a Filippov type existence theorem by...
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