A simplified construction of the Lebesgue integral
Vilmos Komornik
TL;DR
This paper introduces a simplified modification of Riesz's construction for the Lebesgue integral, making the process more straightforward and applicable to both finite and infinite integrals.
Contribution
It offers a new, simplified approach to constructing the Lebesgue integral that streamlines proofs and broadens applicability.
Findings
Simplified proof of Lebesgue integral construction
Direct approach to finite and infinite integrals
Enhanced clarity in measure theory methods
Abstract
We present a modification of Riesz's construction of the Lebesgue integral, leading directly to finite or infinite integrals, at the same time simplifying the proofs.
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