PROCEEDINGS IPMU '08

A Universal Integral Independent of Measurable Spaces and Function Spaces

Erich Peter Klement, Radko Mesiar, Endre Pap.

For [0,∞]-valued (monotone) measures
and functions, universal integrals
are introduced and investigated.
For a fixed pseudomultiplication on [0,∞] the smallest
and the greatest universal integrals
are given. Finally, a third construction
method for obtaining universal
integrals is introduced.

PDF full paper |