2009•Journal of Jimei UniversityRequires access
New Extension of LSRS Convergence Theorem of Mcshane Integral
Li Wei
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Abstract
On the basis of LSRS convergence theorem of Mcshane integral,LSRS convergence theorem of M-integral was proved.It was found that the conditions of the theorem were much weaker than those of control convergence theorem in Lebesgue integral.First,lemma was proved,then theorem 1 was proved,and so that Vitali theorem became a corollary of LSRS theorem.