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The Integrals of Lebesgue, Denjoy, Perron, and Henstock

1994/08/01 by Russell A. Gordon · 2 citations
Mathematics · #Fixed Point Theorems Analysis

paper · doi:10.1090/gsm/004

openalex publication_date 1994/08/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Lebesgue measure Measurable functions The Lebesgue integral Bounded variation and absolute continuity Darboux and Baire class one functions Functions of generalized bounded variation The Denjoy integral The Perron integral The Henstock integral The McShane integral Equivalence of integrals Integration by parts Convergence theorems Approximate derivatives The Khintchine integral The approximately continuous Henstock integral The approximately continuous Perron integral Solutions to exercises References Notation index Subject index.

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