Functions of several variables of finite variation and their differentiability

Dariusz Idczak

Annales Polonici Mathematici (1994)

  • Volume: 60, Issue: 1, page 47-56
  • ISSN: 0066-2216

Abstract

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Some differentiability properties of functions of several variables of finite variation are investigated.

How to cite

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Dariusz Idczak. "Functions of several variables of finite variation and their differentiability." Annales Polonici Mathematici 60.1 (1994): 47-56. <http://eudml.org/doc/262306>.

@article{DariuszIdczak1994,
abstract = {Some differentiability properties of functions of several variables of finite variation are investigated.},
author = {Dariusz Idczak},
journal = {Annales Polonici Mathematici},
keywords = {functions of several variables; nondecreasing functions; functions of finite variation; Fréchet differentiability; differentiability},
language = {eng},
number = {1},
pages = {47-56},
title = {Functions of several variables of finite variation and their differentiability},
url = {http://eudml.org/doc/262306},
volume = {60},
year = {1994},
}

TY - JOUR
AU - Dariusz Idczak
TI - Functions of several variables of finite variation and their differentiability
JO - Annales Polonici Mathematici
PY - 1994
VL - 60
IS - 1
SP - 47
EP - 56
AB - Some differentiability properties of functions of several variables of finite variation are investigated.
LA - eng
KW - functions of several variables; nondecreasing functions; functions of finite variation; Fréchet differentiability; differentiability
UR - http://eudml.org/doc/262306
ER -

References

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  1. [1] P. Antosik, The investigation of the continuity of functions of several variables, Comment. Math. 10 (1966), 101-104 (in Russian). 
  2. [2] Y. Chabrillac and J. P. Crouzeix, Continuity and differentiability properties of monotone real functions of several real variables, Math. Programming Study 30 (1987), 1-16. Zbl0611.26008
  3. [3] S. Łojasiewicz, An Introduction to the Theory of Real Functions, Wiley, Chichester, 1988. Zbl0653.26001
  4. [4] E. Marczewski et C. Ryll-Nardzewski, Sur la mesurabilité des fonctions de plusieurs variables, Ann. Soc. Polon. Math. 25 (1952), 145-149. Zbl0048.28604
  5. [5] S. Mazurkiewicz, Foundations of Probability, PWN, Warszawa, 1956 (in Polish). 
  6. [6] S. Walczak, On the differentiability of absolutely continuous functions of several variables. Remarks on the Rademacher theorem, Bull. Polish Acad. Sci. Math. 36 (1988), 513-520. Zbl0762.26010
  7. [7] R. L. Wheeden and A. Zygmund, Measure and Integral: an Introduction to Real Analysis, Marcel Dekker, 1977. Zbl0362.26004

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