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
Dedicated to Prof. J.Kurzweil on the occasion of his 80th birthday Abstract. Riemann sums based on δ...
We will study the Henstock-Kurzweil delta and nabla integrals, which generalize the Henstock-Kurzwei...
summary:Applications of ideal from Kurzweil-Henstock integration to elementary analysis on $\bold R$...
summary:We propose an extended version of the Kurzweil integral which contains both the Young and th...
ENGLISH: The theory of the Riemann integral was not fully satisfactory. Many important functions ...
summary:We slightly modify the definition of the Kurzweil integral and prove that it still gives the...
summary:A workable nonstandard definition of the Kurzweil-Henstock integral is given via a Daniell i...
The theory of the Riemann integral was not fully satisfactory. Many important functions do not have ...
The theory of the Riemann integral was not fully satisfactory. Many important functions do not have ...
This paper has a missionary zeal, convincing a professional mathematician to consider replacing trad...
summary:Kurzweil-Henstock integrals related to local systems and the wide Denjoy integral are discus...
summary:Riemann sums based on $\delta $-fine partitions are illustrated with a Maple procedure
summary:In 1938, L. C. Young proved that the Moore-Pollard-Stieltjes integral $\int _a^bf\mathrm{d}g...
The presented work deals with history of Kurzweil integral. It focuses primarily on its comparison w...
summary:The generalized Riemann integral of Pfeffer (1991) is defined on all bounded $\rm BV$ subset...
Dedicated to Prof. J.Kurzweil on the occasion of his 80th birthday Abstract. Riemann sums based on δ...
We will study the Henstock-Kurzweil delta and nabla integrals, which generalize the Henstock-Kurzwei...
summary:Applications of ideal from Kurzweil-Henstock integration to elementary analysis on $\bold R$...
summary:We propose an extended version of the Kurzweil integral which contains both the Young and th...
ENGLISH: The theory of the Riemann integral was not fully satisfactory. Many important functions ...
summary:We slightly modify the definition of the Kurzweil integral and prove that it still gives the...
summary:A workable nonstandard definition of the Kurzweil-Henstock integral is given via a Daniell i...
The theory of the Riemann integral was not fully satisfactory. Many important functions do not have ...
The theory of the Riemann integral was not fully satisfactory. Many important functions do not have ...
This paper has a missionary zeal, convincing a professional mathematician to consider replacing trad...
summary:Kurzweil-Henstock integrals related to local systems and the wide Denjoy integral are discus...
summary:Riemann sums based on $\delta $-fine partitions are illustrated with a Maple procedure
summary:In 1938, L. C. Young proved that the Moore-Pollard-Stieltjes integral $\int _a^bf\mathrm{d}g...
The presented work deals with history of Kurzweil integral. It focuses primarily on its comparison w...
summary:The generalized Riemann integral of Pfeffer (1991) is defined on all bounded $\rm BV$ subset...
Dedicated to Prof. J.Kurzweil on the occasion of his 80th birthday Abstract. Riemann sums based on δ...
We will study the Henstock-Kurzweil delta and nabla integrals, which generalize the Henstock-Kurzwei...
summary:Applications of ideal from Kurzweil-Henstock integration to elementary analysis on $\bold R$...