On Review of the Riemanns’ Iterated Integrals
Eziokwu, C. Emmanuel *
Department of Mathematics, Micheal Okpara University of Agriculture, Umudike, Abia State, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
This paper reviews the Riemanns’ approach of multiple integrals by considering its basic definitions, results and the various successive integral evaluations, in doing this, the continuity condition of R was considered with respect to X as the necessary condition guaranteeing the existence of the integrals using the analytical Riemanns’ approach. This involves the use of partitions, to generate continued results to the nth iterated integral after the nth iteration.
Keywords: Chlorococcales from Jabalpur, Riemanns’ sum, New chlorococcales, function, supremum, infimum, continuity, Riemanns’ integrability and iterated integrals.