On Riemann sums

DOI10.14321/realanalexch.37.1.0221zbMath1258.26002OpenAlexW1572428706MaRDI QIDQ418224

Brian S. Thomson

Publication date: 28 May 2012

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rae/1335806774

zbMATH Keywords

change of variablesHenstock-Kurzweil integralcontinuous functionsexact derivativesmodified Riemann sums

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Integrals of Riemann, Stieltjes and Lebesgue type (26A42)

Related Items (1)

Change of variable formulas for Riemann integrals

Cites Work

• Real variable contributions of G. C. Young and W. H. Young
• On the problem of characterizing derivatives
• Note on the theorem on change of variable in a Riemann integral
• Change of Variable in Riemann Integration
• An Elementary Proof of the Theorem on Change of Variable in Riemann Integration
• A General Chain Rule for Derivatives and the Change of Variables Formula for the Lebesgue Integral
• A Note on the Riemann Integral

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