The ap-Denjoy and ap-Henstock integrals

DOI10.1007/s10587-007-0106-0zbMath1174.26308OpenAlexW2087288052MaRDI QIDQ3617980

Deuk Ho Lee, J. Park, Jae Jung Oh, Chun-Gil Park

Publication date: 31 March 2009

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/31155

zbMATH Keywords

choiceap-Denjoy integralap-Henstock integralapproximate Lusin function

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Denjoy and Perron integrals, other special integrals (26A39)

Related Items (2)

Existence theorems for nonlinear second-order three-point boundary value problems involving the distributional Henstock-Kurzweil integral ⋮ The AP-Denjoy and AP-Henstock integrals revisited

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The descriptive definitions and properties of the AP integral and their application to the problem of controlled convergence
• On the equivalence of four convergence theorems for the AP-integral
• On the descriptive definition of the Burkill approximately continuous integral
• On a generalized dominated convergence theorem for the AP integral
• Some comments on the McShane and Henstock integrals
• The Denjoy extension of the Riemann and Mcshane integrals
• Injective and Projective Properties of R[x-Modules]
• A Banach space of functions of generalized variation
• Bounded Convergence Theorem and integral operator for operator valued measures
• Perron type integration on $n$-dimensional intervals as an extension of integration of stepfunctions by strong equiconvergence
• On multiplication of Perron-integrable functions

This page was built for publication: The ap-Denjoy and ap-Henstock integrals