Work

Generalized Integrals and Convergence Theorems

Year: 2025

Type: article

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.

Source: Results in Mathematics

DOI: 10.1007/s00025-025-02402-9

Authors: Diego Francisco Alcaraz-Ubach, Miguel Antonio Jiménez-Pozo

Institution: Benemérita Universidad Autónoma de Puebla

Language: English

Topic: Mathematical and Theoretical Analysis

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

OpenAlex ID: W4410216517