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Riemann-Stieltjes Integrals Overview by TOM DAVIS is a document available to read on EtoBox.

This document introduces Riemann-Stieltjes integrals, which generalize the Riemann integral to allow the weighting of function values along a path γ in the complex plane. Key points introduced include: - A function γ is of bounded variation if the total variation of γ between partitions is bounded. - The Riemann-Stieltjes integral of a continuous function f with respect to a path γ of bounded variation is defined as a complex number I such that the Riemann sums of f along γ converge to I. - If γ is piecewi

Author

TOM DAVIS

Language

EN