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Convergence of ap-Henstock-Kurzweil integral on locally compact spaces

Hemanta Kalita; Ravi P. Agarwal; Bipan Hazarika — 2025

Czechoslovak Mathematical Journal

We introduce an ap-Henstock-Kurzweil type integral with a non-atomic Radon measure and prove the Saks-Henstock type lemma. The monotone convergence theorem, $μ_{ap}$ -Henstock-Kurzweil equi-integrability, and uniformly strong Lusin condition are discussed.

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