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.

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