On extreme first return path derivatives

Aliasghar Alikhani-Koopaei

Mathematica Slovaca (2002)

  • Volume: 52, Issue: 1, page 19-29
  • ISSN: 0232-0525

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Alikhani-Koopaei, Aliasghar. "On extreme first return path derivatives." Mathematica Slovaca 52.1 (2002): 19-29. <http://eudml.org/doc/32244>.

@article{Alikhani2002,
author = {Alikhani-Koopaei, Aliasghar},
journal = {Mathematica Slovaca},
keywords = {extreme derivatives; Baire class; first return path derivative; Lebesgue measure; Borel measure; Dini derivatives},
language = {eng},
number = {1},
pages = {19-29},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On extreme first return path derivatives},
url = {http://eudml.org/doc/32244},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Alikhani-Koopaei, Aliasghar
TI - On extreme first return path derivatives
JO - Mathematica Slovaca
PY - 2002
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 52
IS - 1
SP - 19
EP - 29
LA - eng
KW - extreme derivatives; Baire class; first return path derivative; Lebesgue measure; Borel measure; Dini derivatives
UR - http://eudml.org/doc/32244
ER -

References

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  1. ALIKHANI-KOOPAEI A. A., Borel measurability of extreme path derivatives, Real Anal. Exchange 12 (1986-87), 216-246. (1986) Zbl0631.26002MR0873894
  2. ALIKHANI-KOOPAEI A. A., Borel measurability of extreme E -derivatives, Real Anal. Exchange 18 (1992-93), 31-32. (1992) MR2219585
  3. ALIKHANI-KOOPAEI A. A., Extreme first return path derivatives, Real Anal. Exchange 22 (1996-97), 97-98. (1996) 
  4. BRUCKNER A. M., Differentiation of Real Functions, Lecture Notes in Math. 659, Springer, Berlin-New York, 1978. (1978) Zbl0382.26002MR0507448
  5. BRUCKNER. A. M., GARG K. M., The level structure of a residual set of continuous functions, Trans. Amer. Math. Soc. 232 (1977), 307-321. (1977) Zbl0372.46027MR0476939
  6. BRUCKNER A. M., O'MALLEY R. J., THOMSON B. S., Path derivatives: A unified view of certain generalized derivatives, Trans. Amer. Math. Soc. 238 (1984), 97-123. (1984) Zbl0541.26003MR0735410
  7. DARJI U. B., EVANS M. J., O'MALLEY R. J., First return path systems: differentiability, continuity and ordering, Acta Math. Hungar. 66 (1995), 83-103. (1995) MR1313777
  8. DARJI U. B., EVANS M. J., O'MALLEY R. J., Universally first return continuous functions, Proc. Amer. Math. Soc. 123 (1995), 2677-2685. (1995) Zbl0846.26003MR1233966
  9. DARJI U. B., EVANS M. J., HUMKE P. D., First return approachability, J. Math. Anal. Appl. 199 (1996), 545-557. (199) MR1383240
  10. HÁJEK O., Note sur la measurabilite B de la derivee superiure, Fund. Math. 44 (1957), 238-240. (1957) MR0095228
  11. MATEJDES M., The semi Borel classification of the extreme path derivatives, Real Anal. Exchange 15 (1989-90), 216-238. (1989) MR1042538
  12. MATEJDES M., Path differentiation in the Borel setting, Real Anal. Exchange 16 (1990-91), 311-318. (1990) MR1087496
  13. MATEJDES M., The projective properties of the extreme path derivatives, Math. Slovaca 42 (1992), 451-464. (1992) Zbl0761.26005MR1195039
  14. O'MALLEY R. J., First return path derivatives, Proc. Amer. Math. Soc. 116 (1992), 73-77. (1992) Zbl0762.26004MR1097349

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