RUS  ENG
Full version
JOURNALS // Fundamentalnaya i Prikladnaya Matematika

Fundam. Prikl. Mat., 2015, Volume 20, Issue 6, Pages 237–258 (Mi fpm1696)

The Leibniz differential and the Perron–Stieltjes integral
E. V. Shchepin

References

1. Kolmogorov A. N., “Issledovanie ponyatiya integrala”, Kolmogorov A. N. Izbrannye trudy. Matematika i mekhanika, Nauka, M., 1985, 96–136  mathscinet
2. De Lopital G. F. A., Analiz beskonechno malykh, GTTI, M., 1935
3. Lukashenko T. P., Skvortsov V. A., Solodov A. P., Obobschennye integraly, Librokom, M., 2011
4. Leader S., “What is a differential? A new answer from the generalized Riemann integral”, Am. Math. Month., 93:5 (1986), 348–356  crossref  mathscinet  zmath
5. Leader S., The Kurzweil–Henstock Integral and Its Differential: A Unified Theory of Integration on $\mathbb R$ and $\mathbb R^n$, Pure Appl. Math., 242, Chapman & Hall/CRC, 2001  mathscinet
6. Ward A. J., “The Perron–Stieltjes integral”, Math. Z., 41 (1936), 578–604  crossref  mathscinet


© Steklov Math. Inst. of RAS, 2026