Generalization of the LM-integral Convergence Theorem
Abstract：Based on Riemann integral definition and its improved definition, δ- elaborate partitioning method , δ- elaborate M-partitioning method and ULSRS definition, this paper analyzes the principle of generation of δ-elaborate partitioning method, and the equivalence properties of Lebesgue integral and Mcshane integral. And then the L-integral convergence theorem is generalized and, theorem 3 is established. This theorem is superior to L-convergence theorem.
Keywords：L-integralM-integralLM-integrableg-elaborate M-divide methodULSRS
Publication Date：2012-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：3( 176-178 )