Abstract
The paper is devoted to establishing a necessary condition for the existence of the Riemann-Stieltjes integral of continuous functions and simultaneously to finding a limit form of its relationship with the classical Riemann integral depending on a parameter. The mathematical technique for this study is based on changing the weighted first difference of a given function into the simple difference of a function determined by a first-order difference equation.
Citation
V. Chernyatin. "A new necessary condition for existence of the Stieltjes integral." Real Anal. Exchange 30 (1) 207 - 216, 2004-2005.
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