Sur les fonctions dérivées sommables
Bulletin de la Société Mathématique de France, Tome 43 (1915), pp. 161-248.
@article{BSMF_1915__43__161_0,
     author = {Denjoy, A.},
     title = {Sur les fonctions d\'eriv\'ees sommables},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     pages = {161--248},
     publisher = {Soci\'et\'e math\'ematique de France},
     volume = {43},
     year = {1915},
     doi = {10.24033/bsmf.958},
     language = {fr},
     url = {https://www.numdam.org/articles/10.24033/bsmf.958/}
}
TY  - JOUR
AU  - Denjoy, A.
TI  - Sur les fonctions dérivées sommables
JO  - Bulletin de la Société Mathématique de France
PY  - 1915
SP  - 161
EP  - 248
VL  - 43
PB  - Société mathématique de France
UR  - https://www.numdam.org/articles/10.24033/bsmf.958/
DO  - 10.24033/bsmf.958
LA  - fr
ID  - BSMF_1915__43__161_0
ER  - 
%0 Journal Article
%A Denjoy, A.
%T Sur les fonctions dérivées sommables
%J Bulletin de la Société Mathématique de France
%D 1915
%P 161-248
%V 43
%I Société mathématique de France
%U https://www.numdam.org/articles/10.24033/bsmf.958/
%R 10.24033/bsmf.958
%G fr
%F BSMF_1915__43__161_0
Denjoy, A. Sur les fonctions dérivées sommables. Bulletin de la Société Mathématique de France, Tome 43 (1915), pp. 161-248. doi : 10.24033/bsmf.958. https://www.numdam.org/articles/10.24033/bsmf.958/
  • Turan, Yalçın; Duman, Oktay Regular integral transformations on time scales and generalized statistical convergence, Filomat, Volume 37 (2023) no. 12, p. 4017 | DOI:10.2298/fil2312017y
  • Filipczak, Małgorzata; Terepeta, Małgorzata Generalized Densities on ℝ n and their Applications, Tatra Mountains Mathematical Publications, Volume 78 (2022) no. 1, p. 25 | DOI:10.2478/tmmp-2021-0003
  • Pan, Cheng-Han Nowhere-monotone differentiable functions and bounded variation, Journal of Mathematical Analysis and Applications, Volume 494 (2021) no. 2, p. 124618 | DOI:10.1016/j.jmaa.2020.124618
  • Toure, Cheikh; Gissler, Armand; Auger, Anne; Hansen, Nikolaus Scaling-invariant Functions versus Positively Homogeneous Functions, Journal of Optimization Theory and Applications, Volume 191 (2021) no. 1, p. 363 | DOI:10.1007/s10957-021-01943-7
  • Grechuk, Bogdan Analysis, Landscape of 21st Century Mathematics (2021), p. 103 | DOI:10.1007/978-3-030-80627-9_3
  • Dubon, E.; San Antolín, A. The Lebesgue differentiation theorem revisited, Expositiones Mathematicae, Volume 37 (2019) no. 3, p. 322 | DOI:10.1016/j.exmath.2019.02.001
  • Jóźwik, Izabela; Maligranda, Lech; Terepeta, Małgorzata Stefan Kempisty (1892–1940), Historia Mathematica, Volume 48 (2019), p. 69 | DOI:10.1016/j.hm.2019.01.003
  • LORANTY, ANNA; PAWLAK, RYSZARD J. ON FUNCTIONS ATTRACTING POSITIVE ENTROPY, Bulletin of the Australian Mathematical Society, Volume 97 (2018) no. 1, p. 69 | DOI:10.1017/s0004972717000855
  • Ciesielski, Krzysztof C.; Pan, Cheng-Han Doubly paradoxical functions of one variable, Journal of Mathematical Analysis and Applications, Volume 464 (2018) no. 1, p. 274 | DOI:10.1016/j.jmaa.2018.04.012
  • Ciesielski, Krzysztof Chris Monsters in Calculus, The American Mathematical Monthly, Volume 125 (2018) no. 8, p. 739 | DOI:10.1080/00029890.2018.1502011
  • Bingham, N.H.; Ostaszewski, A.J. Beyond Lebesgue and Baire IV: Density topologies and a converse Steinhaus–Weil theorem, Topology and its Applications, Volume 239 (2018), p. 274 | DOI:10.1016/j.topol.2017.12.029
  • Filipczak, Małgorzata; Terepeta, Małgorzata; Wilczyński, Władysław Density, ψ-density and continuity, Mathematica Slovaca, Volume 67 (2017) no. 6, p. 1525 | DOI:10.1515/ms-2017-0067
  • Bibliography, Strange Functions in Real Analysis (2017), p. 401 | DOI:10.1201/9781315154473-28
  • Durand-Cartagena, E.; Ihnatsyeva, L.; Korte, R.; Szumańska, M. On Whitney-type Characterization of Approximate Differentiability on Metric Measure Spaces, Canadian Journal of Mathematics, Volume 66 (2014) no. 4, p. 721 | DOI:10.4153/cjm-2012-064-x
  • Sadullaev, A. S.; Imomkulov, S. A.; Rakhimov, K. Kh. Bounded subharmonic functions possess the Lebesgue property at each point, Mathematical Notes, Volume 96 (2014) no. 5-6, p. 992 | DOI:10.1134/s0001434614110388
  • Садуллаев, Азимбай С; Sadullaev, Azimbai S; Имомкулов, Севдиер Акрамович; Imomkulov, Sevdiyar Akramovich; Рахимов, Карим Хошимович; Rakhimov, Karim Khoshimovich Ограниченная субгармоническая функция обладает свойством Лебега в каждой точке, Математические заметки, Volume 96 (2014) no. 6, p. 921 | DOI:10.4213/mzm10377
  • Turan, Ceylan; Duman, Oktay Statistical Convergence on Timescales and Its Characterizations, Advances in Applied Mathematics and Approximation Theory, Volume 41 (2013), p. 57 | DOI:10.1007/978-1-4614-6393-1_3
  • Grattan-Guinness, I. The Mentor of Alan Turing: Max Newman (1897–1984) as a Logician, The Mathematical Intelligencer, Volume 35 (2013) no. 3, p. 54 | DOI:10.1007/s00283-013-9387-3
  • Miller, Harry I.; Ostaszewski, A.J. Group action and shift-compactness, Journal of Mathematical Analysis and Applications, Volume 392 (2012) no. 1, p. 23 | DOI:10.1016/j.jmaa.2012.02.021
  • Burgin, Mark; Duman, Oktay Approximate Fuzzy Continuity of Functions, International Journal of Fuzzy System Applications, Volume 1 (2011) no. 4, p. 37 | DOI:10.4018/ijfsa.2011100103
  • Bibliography, Strange Functions in Real Analysis, Second Edition (2005), p. 393 | DOI:10.1201/9781420034844.bmatt
  • Hazewinkel, Michiel D, Encyclopaedia of Mathematics (2000), p. 141 | DOI:10.1007/978-94-015-1279-4_4
  • Bruckner, A. M.; Mařík, J.; Weil, C. E. Some Aspects of Products of Derivatives, The American Mathematical Monthly, Volume 99 (1992) no. 2, p. 134 | DOI:10.1080/00029890.1992.11995823
  • Sarkhel, D. N.; Seth, P. K. On some generalized approximative relative derivatives, Rendiconti del Circolo Matematico di Palermo, Volume 35 (1986) no. 1, p. 5 | DOI:10.1007/bf02844038
  • Bruckner, A. M.; O’Malley, R. J.; Thomson, B. S. Path derivatives: a unified view of certain generalized derivatives, Transactions of the American Mathematical Society, Volume 283 (1984) no. 1, p. 97 | DOI:10.1090/s0002-9947-1984-0735410-1
  • Коляда, В. И. О метрическом свойст ве Дарбу, Analysis Mathematica, Volume 9 (1983) no. 4, p. 291 | DOI:10.1007/bf01910308
  • Ball, John M. Measurability and continuity conditions for nonlinear evolutionary processes, Proceedings of the American Mathematical Society, Volume 55 (1976) no. 2, p. 353 | DOI:10.1090/s0002-9939-1976-0415445-x
  • Davies, Roy O. Separate approximate continuity implies measurability, Mathematical Proceedings of the Cambridge Philosophical Society, Volume 73 (1973) no. 3, p. 461 | DOI:10.1017/s0305004100077033
  • Lebesgue, Henri The integral from Riemann to Bourbaki, Sets and integration An outline of the development (1972), p. 75 | DOI:10.1007/978-94-010-2718-2_2
  • Mukhopadhyay, S. N. On approximate Schwarz differentiability, Monatshefte f�r Mathematik, Volume 70 (1966) no. 5, p. 454 | DOI:10.1007/bf01300450
  • Bruckner, A. M.; Leonard, J. L. Derivatives, The American Mathematical Monthly, Volume 73 (1966) no. 4P2, p. 24 | DOI:10.1080/00029890.1966.11970916
  • Weil, Clifford E. On properties of derivatives, Transactions of the American Mathematical Society, Volume 114 (1965) no. 2, p. 363 | DOI:10.1090/s0002-9947-1965-0176007-2
  • Zink, Robert E. On semicontinuous fuctions and Baire functions, Transactions of the American Mathematical Society, Volume 117 (1965) no. 0, p. 1 | DOI:10.1090/s0002-9947-1965-0169974-4
  • Golomb, Solomon W.; Bruckner, A. M.; Carlitz, L.; Thomas, J. M.; Howson, A. G.; Brown, C. P. E.; Sally, Paul Classroom Notes, The American Mathematical Monthly, Volume 69 (1962) no. 8, p. 785 | DOI:10.1080/00029890.1962.11989974
  • Goffman, Casper; Waterman, Daniel Approximately continuous transformations, Proceedings of the American Mathematical Society, Volume 12 (1961) no. 1, p. 116 | DOI:10.1090/s0002-9939-1961-0120327-6
  • Meisters, G. H. Local Linear Dependence and the Vanishing of the Wronskian, The American Mathematical Monthly, Volume 68 (1961) no. 9, p. 847 | DOI:10.1080/00029890.1961.11989780
  • Pipes, C. J. Generalizations of a theorem of Sierpinski and Zygmund on continuous functions, Proceedings of the American Mathematical Society, Volume 3 (1952) no. 2, p. 237 | DOI:10.1090/s0002-9939-1952-0048549-8
  • Zahorski, Z. Sur la première dérivée, Transactions of the American Mathematical Society, Volume 69 (1950) no. 0, p. 1 | DOI:10.1090/s0002-9947-1950-0037338-9

Cité par 38 documents. Sources : Crossref