Convergence theorems for Lebesgue integrals

Hari Bercovici, Arlen Brown and Carl Pearcy
Additional contact information
Hari Bercovici: Indiana University, Department of Mathematics
Arlen Brown: Indiana University, Department of Mathematics
Carl Pearcy: Texas A&M University, Department of Mathematics

Chapter Chapter 4 in Measure and Integration, 2016, pp 75-104 from Springer

Abstract: Abstract Lebesgue integration is a powerful tool principally on account of several convergence theorems (Theorems 4.24, 4.29, 4.31, and 4.35), and these are the main focus of this chapter. There are, however, several other things to be established. We begin by introducing the signed and φ $$\varphi$$ defined on a ring always satisfy φ ( ∅ ) = 0 $$\varphi (\varnothing ) = 0$$ .

Keywords: Lebesgue Integral; Extended Real Number; Complete Measure Space; Indefinite Integral; Absolute Continuity (search for similar items in EconPapers)
Date: 2016
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-29046-1_4

Ordering information: This item can be ordered from
http://www.springer.com/9783319290461

DOI: 10.1007/978-3-319-29046-1_4

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().