On approximate Dini derivates and one-sided approximate derivatives of arbitrary functions
Commentationes Mathematicae Universitatis Carolinae, Tome 22 (1981) no. 3, pp. 549-560 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Classification : 26A21, 26A24, 26A27
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Zajíček, Luděk. On approximate Dini derivates and one-sided approximate derivatives of arbitrary functions. Commentationes Mathematicae Universitatis Carolinae, Tome 22 (1981) no. 3, pp. 549-560. http://geodesic.mathdoc.fr/item/CMUC_1981_22_3_a8/

[1] H. ALLEN C. L. BELNA: Disjoint essential angular cluster sets. J. Korean Math. Soc. 2 (1974), 49-51. | MR

[2] A. M. BRUCKNER: Differentiation of real functions. Lecture notes in Mathematics, No. 659, Springer Verlag, 1978. | MR | Zbl

[3] E. P. DOLŽENKO: The boundary properties of arbitrary functions. Russian, Isv. Akad. Nauk SSSR, Ser. Mat. 31 (1967), 3-14. | MR

[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

[5] K. M. GARG: On asymmetrical derivates of non-differentiable functions. Can. J. Math. 20 (1968), 135-143. | MR | Zbl

[6] R. L. JEFFERY: The derivatives of arbitrary functions over arbitrary sets. Ann. of Mat. 36 (1935), 438-447. | MR

[7] L. MIŠÍK: Notes on an approximate derivative. Mat. Časop. 22 (1972), 108-114. | MR

[8] D. PREISS: Approximate derivatives and Baire classes. Czech. Math. Journ. 21 (1971), 373-382. | MR | Zbl

[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

[10] S. SAKS: Theory of the Integral. New York, 1937. | Zbl

[11] L. E. SNYDER: Approximate Stolz angle limits. Proc. Amer. Math. Soc. 17 (1966), 416-422. | MR | Zbl

[12] G. TOLSTOV: Sur la dérivée approximative exacte. Mat. Sb. 4 (46) (1938), 499-504. | Zbl

[1З] L. ZAJÍČEK: On cluster sets of arbitrary functions. Fund. Math. 83 (1974), 197-217. | MR

[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

[15] L. ZAJÍČEK: On the symmetry of Dini derivates of arbitrary functions. Comment. Math. Univ. Carolinae 22 (1981), 195-209. | MR