Convergence theorems in Lebesgue integration

• Grant number: 12/00345-5
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: March 01, 2012
• End date: December 31, 2012
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Luis Antônio Fernandes de Oliveira
• Grantee: Jéssica Scavazini Resende
• Host Institution: Faculdade de Engenharia (FEIS). Universidade Estadual Paulista (UNESP). Campus de Ilha Solteira. Ilha Solteira , SP, Brazil

Abstract

This project is dedicated to the study of two central theorems in the theory of Lebesgue integration: the monotone convergence theorem and the dominated convergence theorem. (AU)