ON SOME INTEGRATION BY PARTS FORMULATE FOR THE ASP-INTEGRAL

The main results of this paper are as follows；Let F be approximately continuous on[a,b]and g be of bounded variation on[a,b]. Then (APS)∫^ba Fexists if and only if (APS)∫^ba gdf existe. Furthermore,suppose (APS)∫^ba Fdy or (APS)∫^ba gdF exists, then we have (APS)∫^ba Fdg (APS)∫^bagdf=F(b)g(b)-F(a)g(a)     

THE HENSTOCK-WIENER INTEGRAL

We introduce the Henstook-Wiener integral and prove that it is a generalization of the classical Wiener integral.