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ArticleOriginal scientific text

Title

Functions of several variables of finite variation and their differentiability

Authors 1

Affiliations

  1. Institute of Mathematics, University of Łódź, Banacha 22, 90-238 Łódź, Poland

Abstract

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

Keywords

ENG
functions of several variables, nondecreasing functions, functions of finite variation, Fréchet differentiability

Bibliography

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  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.
  3. S. Łojasiewicz, An Introduction to the Theory of Real Functions, Wiley, Chichester, 1988.
  4. E. Marczewski et C. Ryll-Nardzewski, Sur la mesurabilité des fonctions de plusieurs variables, Ann. Soc. Polon. Math. 25 (1952), 145-149.
  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.
  7. R. L. Wheeden and A. Zygmund, Measure and Integral: an Introduction to Real Analysis, Marcel Dekker, 1977.
Annales Polonici Mathematici
1994-1995/60/1
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Pages:
47-56
Main language of publication
English
Received
1992-10-28
Accepted
1993-07-05
Published
1994
Exact and natural sciences