Modified Riemann sums of Riemann-Stieltjes integrable functions

2019/05/02 by Torchinsky, Alberto
#26A42 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1905.00881

Abstract

In this paper, motivated by physical considerations, we introduce the notion of modified Riemann sums of Riemann-Stieltjes integrable functions, show that they converge, and compute them explicitely under various assumptions.

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