| Title:
|
On Denjoy property and on approximate partial derivatives (English) |
| Author:
|
Mukhopadhyay, S. N. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
23 |
| Issue:
|
4 |
| Year:
|
1973 |
| Pages:
|
567-573,574 |
| . |
| Category:
|
math |
| . |
| MSC:
|
26A54 |
| idZBL:
|
Zbl 0275.26017 |
| idMR:
|
MR0325883 |
| DOI:
|
10.21136/CMJ.1973.101200 |
| . |
| Date available:
|
2008-06-09T14:04:05Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101200 |
| . |
| Reference:
|
[1] A. M. Bruckner: An affirmative answer to a problem of Zahorski and some consequences.Mich. Math. J. 13 (1966), 15-26. Zbl 0141.05902, MR 0188375, 10.1307/mmj/1028999475 |
| Reference:
|
[2] A. M. Bruckner, J. B. Bruckner: Darboux transformations.Trans. Amer. Math Soc. 128 (1967), 103-111. Zbl 0185.12002, MR 0218500, 10.1090/S0002-9947-1967-0218500-1 |
| Reference:
|
[3] J. A. Clarkson: A property of derivatives.Bull. Amer. Math. Soc. 53 (1947), 124-125. Zbl 0032.27102, MR 0019712, 10.1090/S0002-9904-1947-08757-7 |
| Reference:
|
[4] H. T. Croft: A note on Darboux continuous functions.J. London Math. Soc. 38 (1963), 9-10. MR 0147588 |
| Reference:
|
[5] A. Denjoy: Sur une propriete des fonctions derivees.Enseignement Math. 18 (1916), 320-328. |
| Reference:
|
[6] С. Goffman, D. Waterman: Approximately continuous transformations.Proc. Amer. Math. Soc. 12(1961), 116-121. Zbl 0096.17103, MR 0120327, 10.1090/S0002-9939-1961-0120327-6 |
| Reference:
|
[7] J. S. Lipiński: Sur la classe ${\cal M}\sb{2}\sp{\prime}$.Časopis Pěst. Mat. 93 (1968), 222-226. MR 0233940 |
| Reference:
|
[8] L. Mišík: Über die Klasse${\cal M}\sb{2}$.Časopis Pěst. Mat. 91 (1966), 389-393. MR 0231950 |
| Reference:
|
[9] L. Mišík: Über die Funktionen der ersten Baireschen Klasse mit der Eigenschaft von Darboux.Mat. Fyz. Časopis SAV 14 (1964), 44-48. MR 0181719 |
| Reference:
|
[10] L. Mišík: Über die Eigenschaft von Darboux und einigen Klasse von Funktionen.Rev. Roum. Math. Pures et Appl. 11 (1966), 411 - 430. MR 0202940 |
| Reference:
|
[11] S. N. Mukhopadhyay: On a certain property of the derivative.Fund. Math. 67 (1970), 279-284. Zbl 0193.35701, MR 0259040, 10.4064/fm-67-3-279-284 |
| Reference:
|
[12] С. J. Neugebauer: Darboux property for functions of several variables.Trans. Amer. Math. Soc. 107(1963), 30-37. Zbl 0112.04003, MR 0148811, 10.1090/S0002-9947-1963-0148811-6 |
| Reference:
|
[13] S. Saks: Theory of the Integral.1937. Zbl 0017.30004 |
| Reference:
|
[14] T. Šalât: Remarks on Denjoy property and ${\cal M}\sb{2}\sp{\prime}$ property of real functions.Časopis Pěst. Mat. 96(1971), 391-397. MR 0302830 |
| Reference:
|
[15] T. Swiatkowski: On the conditions of monotonicity of functions.Fund. Math. 59 (1966), 189-201. Zbl 0143.07406, MR 0199324, 10.4064/fm-59-2-189-201 |
| Reference:
|
[16] L. E. Snyder: The Baire classification of ordinary and approximate partial derivatives.Proc. Amer. Math. Soc. 17(1966), 115-123. Zbl 0142.30501, MR 0186768, 10.1090/S0002-9939-1966-0186768-0 |
| Reference:
|
[17] Z. Zahorski: Sur la premiere derivee.Trans. Amer. Math. Soc. 69 (1950), 1 - 54. Zbl 0038.20602, MR 0037338 |
| . |
