variational measure

General integrals and extensions

Autores: 
S. Schwabik
Resumo: 
A general concept of integral is presented in the form given by S. Saks in [9]. A special subclass of integrals is introduced in such a way that the classical integrals (Newton, Riemann, Lebesgue, Perron, Kurzweil-Henstock,...) belong to it. Extensions of integrals are studied and finally the results are used for obtaining some new results on the Kurzweil-Henstock integration with emphasis to results described via the Lebesgue integral.
Conteúdo sindicalizado