Approximate differentiation: Jarník points

Jan Malý; Luděk Zajíček

Fundamenta Mathematicae (1991)

  • Volume: 140, Issue: 1, page 87-97
  • ISSN: 0016-2736

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Malý, Jan, and Zajíček, Luděk. "Approximate differentiation: Jarník points." Fundamenta Mathematicae 140.1 (1991): 87-97. <http://eudml.org/doc/211932>.

@article{Malý1991,
abstract = {},
author = {Malý, Jan, Zajíček, Luděk},
journal = {Fundamenta Mathematicae},
keywords = {approximate differentiation; Jarník points},
language = {eng},
number = {1},
pages = {87-97},
title = {Approximate differentiation: Jarník points},
url = {http://eudml.org/doc/211932},
volume = {140},
year = {1991},
}

TY - JOUR
AU - Malý, Jan
AU - Zajíček, Luděk
TI - Approximate differentiation: Jarník points
JO - Fundamenta Mathematicae
PY - 1991
VL - 140
IS - 1
SP - 87
EP - 97
AB -
LA - eng
KW - approximate differentiation; Jarník points
UR - http://eudml.org/doc/211932
ER -

References

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  1. [1] S. M. Berman, Gaussian processes with stationary increments: Local times and sample function properties, Ann. Math. Statist. 41 (1970), 1260-1272. Zbl0204.50501
  2. [2] D. Geman and J. Horowitz, Occupation densities, Ann. Probab. 8 (1980), 1-67. Zbl0499.60081
  3. [3] M. de Guzmán, A general form of the Vitali theorem, Colloq. Math. 34 (1975), 69-72. Zbl0326.28003
  4. [4] V. Jarník, Sur les nombres dérivées approximatifs, Fund. Math. 22 (1934), 4-16. 
  5. [5] J. C. Oxtoby, The Banach-Mazur game and Banach category theorem, in: Contribution to the Theory of Games III, Ann. of Math. Stud. 39, Princeton 1957, 159-163. Zbl0078.32903
  6. [6] J. C. Oxtoby, Measure and Category, Springer, New York 1980. 
  7. [7] S. Saks, On the functions of Besicovitch in the space of continuous functions, Fund. Math. 19 (1932), 211-219. Zbl0005.39105
  8. [8] S. Saks, Theory of the Integral, Monograf. Mat. 7, Warszawa 1937 (reprinted by Hafner Publ., New York). 
  9. [9] L. Zajíček, The differentiability structure of typical functions in C[0,1]), Real Anal. Exchange 13 (1987-88), 119, 103-106, 93. 
  10. [10] L. Zajíček, Porosity, derived numbers and knot points of typical continuous functions, Czechoslovak Math. J. 39 (114) (1989), 45-52. Zbl0672.26002

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