The s-Perron, sap-Perron and ap-McShane Integrals

DOI10.1007/s10587-004-6407-7zbMath1080.26005OpenAlexW2066924637MaRDI QIDQ3366651

Deok Ho Lee, Woo Youl Lee, J. Park, Joo Bong Kim, Chun-Gil Park

Publication date: 14 February 2006

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

Full work available at URL: https://eudml.org/doc/30881

zbMATH Keywords

ap-McShane integrals-Perron integralsap-Perron integral

Mathematics Subject Classification ID

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

Cites Work

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• 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
• Some comments on the McShane and Henstock integrals
• The Denjoy extension of the Riemann and Mcshane integrals
• 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

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