Why there is no ``Fundamental theorem of calculus for the Riemann integral

zbMath0782.26002MaRDI QIDQ686409

Sterling K. Berberian

Publication date: 20 October 1993

Published in: Expositiones Mathematicae (Search for Journal in Brave)

zbMATH Keywords

regulated functionsRiemann integrable functionsfundamental theorem of calculus\(({\mathcal A},{\mathcal N})\)-integrable functionsright derivative

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) Monotonic functions, generalizations (26A48) Absolutely continuous real functions in one variable (26A46)

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Lineability and integrability in the sense of Riemann, Lebesgue, Denjoy, and Khintchine ⋮ A preservation of integrability characterization theorem

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