Generalized Integrals and Convergence Theorems
Diego Francisco Alcaraz-Ubach, Miguel Antonio Jiménez-Pozo · Results in Mathematics · 2025
Abstract Under a wide concept of generalized integrals, classical results like the Lebesgue dominated convergence theorem and the rearrangement Riemann theorem are presented and proven. At the end of the paper, an application of the rearrangement theorem provides us with more information about the connection between generalized and improper integrals.