| Title:
|
On approximate Dini derivates and one-sided approximate derivatives of arbitrary functions (English) |
| Author:
|
Zajíček, Luděk |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
22 |
| Issue:
|
3 |
| Year:
|
1981 |
| Pages:
|
549-560 |
| . |
| Category:
|
math |
| . |
| MSC:
|
26A21 |
| MSC:
|
26A24 |
| MSC:
|
26A27 |
| idZBL:
|
Zbl 0487.26004 |
| idMR:
|
MR633582 |
| . |
| Date available:
|
2008-06-05T21:09:03Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106096 |
| . |
| Reference:
|
[1] H. ALLEN C. L. BELNA: Disjoint essential angular cluster sets.J. Korean Math. Soc. 2 (1974), 49-51. MR 0382650 |
| Reference:
|
[2] A. M. BRUCKNER: Differentiation of real functions.Lecture notes in Mathematics, No. 659, Springer Verlag, 1978. Zbl 0382.26002, MR 0507448 |
| Reference:
|
[3] E. P. DOLŽENKO: The boundary properties of arbitrary functions.Russian, Isv. Akad. Nauk SSSR, Ser. Mat. 31 (1967), 3-14. MR 0217297 |
| Reference:
|
[4] M. J. EVANS P. D. HUMKE: Directional cluster sets and essential directional cluster sets of гeal functions defined in the upper half plane.Rev. Roumaine Math. Pures Appl. 23 (1978), 533-542. MR 0492273 |
| Reference:
|
[5] K. M. GARG: On asymmetrical derivates of non-differentiable functions.Can. J. Math. 20 (1968), 135-143. Zbl 0194.08601, MR 0220878 |
| Reference:
|
[6] R. L. JEFFERY: The derivatives of arbitrary functions over arbitrary sets.Ann. of Mat. 36 (1935), 438-447. MR 1503233 |
| Reference:
|
[7] L. MIŠÍK: Notes on an approximate derivative.Mat. Časop. 22 (1972), 108-114. MR 0315057 |
| Reference:
|
[8] D. PREISS: Approximate derivatives and Baire classes.Czech. Math. Journ. 21 (1971), 373-382. Zbl 0221.26007, MR 0286951 |
| Reference:
|
[9] H. H. PU J. D. CHEN H. W. PU: A theorem on approximate derivates.Bull. Inst. Math. Acad. Sinica 2 (1974), 87-91. MR 0342654 |
| Reference:
|
[10] S. SAKS: Theory of the Integral.New York, 1937. Zbl 0017.30004 |
| Reference:
|
[11] L. E. SNYDER: Approximate Stolz angle limits.Proc. Amer. Math. Soc. 17 (1966), 416-422. Zbl 0158.05102, MR 0188383 |
| Reference:
|
[12] G. TOLSTOV: Sur la dérivée approximative exacte.Mat. Sb. 4 (46) (1938), 499-504. Zbl 0021.01602 |
| Reference:
|
[1З] L. ZAJÍČEK: On cluster sets of arbitrary functions.Fund. Math. 83 (1974), 197-217. MR 0338294 |
| Reference:
|
[14] L. ZAJÍČEK: On the intersection of the sets of the right and left internal approximate derivatives.Czech. Math. Journ. 23 (1973), 629-634. MR 0323969 |
| Reference:
|
[15] L. ZAJÍČEK: On the symmetry of Dini derivates of arbitrary functions.Comment. Math. Univ. Carolinae 22 (1981), 195-209. MR 0609947 |
| . |
