On primitive for the GAP-integral. (English) Zbl 1265.26016
The authors proceed with their investigation of a generalized approximately Perron integral (GAP-integral). Measurability and approximate differentiability almost everywhere of the primitive for the GAP-integral are proved. Also a certain characterization theorem for GAP-integral is given. The results extend those known for the usual approximate Kurzweil-Henstock integral.
Reviewer: Ján Borsík (Košice)
MSC:
| 26A39 | Denjoy and Perron integrals, other special integrals |
Keywords:
approximate full cover; density point; \(\Delta \)-division; GAP-integral; Saks-Henstock lemma; nearly everywhereReferences:
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