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This paper presents a proof of the bounded convergence theorem for the abstract Kurzweil-Stieltjes integral in an elementary setting. The theorem states that if a function of bounded variation and a sequence of regulated functions converge boundedly and pointwise, then their integrals converge. The proof avoids notions of measurability and uses ideas from previous elementary proofs for the Riemann integral case.

Author

AMAN MISHRA

Language

EN