| Title:
|
On a residual set of continuous functions (English) |
| Author:
|
Garg, Krishna Murari |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
20 |
| Issue:
|
4 |
| Year:
|
1970 |
| Pages:
|
537-543 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
26.35 |
| idZBL:
|
Zbl 0217.37204 |
| idMR:
|
MR0268334 |
| DOI:
|
10.21136/CMJ.1970.100981 |
| . |
| Date available:
|
2008-06-09T13:48:18Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100981 |
| . |
| Reference:
|
[1] S. Banach: Über die Baire'sche Kategorie gewisser Funktionenmengen.Studia Math. 3 (1931), 174-179. 10.4064/sm-3-1-174-179 |
| Reference:
|
[2] K. M. Garg: On level sets of a continuous nowhere monotone function.Fund. Math. 52 (1963), 59-68. Zbl 0106.26904, MR 0143855, 10.4064/fm-52-1-59-68 |
| Reference:
|
[3] K. M. Garg: On nowhere monotone functions III: Functions of first and second species.Rev. Math. Pures Appl. 8 (1963), 83-90. Zbl 0138.03802, MR 0151560 |
| Reference:
|
[4] K. M. Garg: On asymmetrical derivates of non-differentiable functions.Can. Jour. Math. 20 (1968), 135-143. Zbl 0194.08601, MR 0220878, 10.4153/CJM-1968-015-1 |
| Reference:
|
[5] V. Jarník: Über die Differenzierbarkeit stetiger Funktionen.Fund. Math. 21 (1933), 48 - 58. 10.4064/fm-21-1-48-58 |
| Reference:
|
[6] S. Mazurkiewicz: Sur les fonctions non dérivables.Studia Math. 3 (1931), 92-94. Zbl 0003.29702, 10.4064/sm-3-1-92-94 |
| Reference:
|
[7] S. Minakshisundaram: On the roots of a continuous non-differentiable function.Jour. Indian Math. Soc. 4 (1940), 31-33. Zbl 0023.02001, MR 0001827 |
| Reference:
|
[8] S. Saks: On the functions of Besicovitch in the space of continuous functions.Fund. Math. 19 (1932), 211-219. Zbl 0005.39105, 10.4064/fm-19-1-211-219 |
| Reference:
|
[9] A. N. Singh: On the method of construction and some properties of a class of non-differentiable functions.Proc. Benares Math. Soc. 13 (1931), 1 - 17. Zbl 0007.15306 |
| Reference:
|
[10] A. N. Singh: The Theory and Construction of Non-differentiable Functions.Lucknow University Studies 1, 1935. |
| Reference:
|
[11] Z. Zahorski: Sur l'ensemble des racines de l'équation $W(x) =f(x)$.C. R. Soc. Sci. Lett. Varsovie (3) 41 (1948), 43-45. MR 0043183 |
| Reference:
|
[12] J. Gillis: Note on a conjecture of Erdös.Quart. Jour. Math. (Oxford) 10 (1939), 151-154. Zbl 0021.30303, 10.1093/qmath/os-10.1.151 |
| . |
