# Functions of several variables of finite variation and their differentiability

Annales Polonici Mathematici (1994)

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

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topDariusz 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

top- [1] P. Antosik, The investigation of the continuity of functions of several variables, Comment. Math. 10 (1966), 101-104 (in Russian).
- [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] S. Łojasiewicz, An Introduction to the Theory of Real Functions, Wiley, Chichester, 1988. Zbl0653.26001
- [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] S. Mazurkiewicz, Foundations of Probability, PWN, Warszawa, 1956 (in Polish).
- [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] R. L. Wheeden and A. Zygmund, Measure and Integral: an Introduction to Real Analysis, Marcel Dekker, 1977. Zbl0362.26004

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