Monotone convergence theorems for Henstock-Kurzweil integrable functions and applications

DOI10.1016/J.JMAA.2010.10.063zbMath1229.26017OpenAlexW2093082485MaRDI QIDQ626173

Seppo Heikkilä

Publication date: 22 February 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.10.063

zbMATH Keywords

Banach spaceHenstock-Kurzweil integralMonotone convergence theorem

Mathematics Subject Classification ID

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

Related Items (3)

Differential and integral equations with Henstock-Kurzweil integrable functions ⋮ Well-posedness results for differential and integral equations containing Henstock-Kurzweil integrable vector-valued functions ⋮ Existence results for operator and differential equations and inclusions

Cites Work

• Convergence and comparison results for Henstock-Kurzweil and McShane integrable vector-valued functions
• Convergence theorems for HL integrable vector-valued functions with applications
• Some peculiarities of the Henstock and Kurzweil integrals of Banach space-valued functions
• On singularity of Henstock integrable functions
• Fixed Point Theory in Ordered Sets and Applications
• Linear Fredholm Integral Equations and the Integral of Kurzweil
• The monotone convergence theorem for multidimensional abstract Kurzweil vector integrals
• On the existence of solutions of nonlinear integral equations in Banach spaces and Henstock–Kurzweil integrals
• Foundations for relativistic quantum theory. I. Feynman’s operator calculus and the Dyson conjectures
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