A constructive integral equivalent to the integral of Kurzweil
We slightly modify the definition of the Kurzweil integral and prove that it still gives the same integral.
Page 1
Márcia Federson (2002)
Czechoslovak Mathematical Journal
We slightly modify the definition of the Kurzweil integral and prove that it still gives the same integral.
Stefano Meda (1989)
Rendiconti del Seminario Matematico della Università di Padova
Martin Doležal (2009)
Mathematica Bohemica
We improve a theorem of C. L. Belna (1972) which concerns boundary behaviour of complex-valued functions in the open upper half-plane and gives a partial answer to the (still open) three-segment problem.
Josef Janyška (1981)
Archivum Mathematicum
V. Janković (1978)
Matematički Vesnik
Jiří Jarník, Jaroslav Kurzweil (1997)
Czechoslovak Mathematical Journal
For a new Perron-type integral a concept of convergence is introduced such that the limit of a sequence of integrable functions , is integrable and any integrable is the limit of a sequence of stepfunctions , .
Page 1