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On McShane-type integrals with respect to some derivation bases
(Institute of Mathematics AS CR, 2006)
Some observations concerning McShane type integrals are collected. In particular, a simple construction of continuous major/minor functions for a McShane integrand in R^n is given.
Adjoint classes of functions in the H1 sense
(Institute of Mathematics AS CR, 2007)
Using the concept of the H1-integral, we consider a similarly defined Stieltjes integral. We prove a Riemann-Lebesgue type theorem for this integral and give examples of adjoint classes of functions.