ON SOME INTEGRATION BY PARTS FORMULATE FOR THE ASP-INTEGRAL

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The main results of this paper are as follows:Let F be approximately continuous on [a,bl and g be of bounded variation on [a,b]. Then(APS) dg exists if and only if (APS)dF exists. Furthermore, suppose (APS)Fdy or(APS)dF exists,then we have(APS)Fdg + (APS)gdF = F(b)g(b) -F(a)g(a)