O křivkách maximální délky
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On a class of variational integrals over BV varieties
Primo Brandi, Anna Salvadori (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
We present here our most recent results ([1def]) about the definition of non-linear Weiertrass-type integrals over BV varieties, possibly discontinuous and not necessarily Sobolev's.
On a generalisation of the Hahn-Jordan decomposition for real càdlàg functions
Rafał M. Łochowski (2013)
Colloquium Mathematicae
For a real càdlàg function f and a positive constant c we find another càdlàg function which has the smallest total variation among all functions uniformly approximating f with accuracy c/2. The solution is expressed in terms of truncated variation, upward truncated variation and downward truncated variation introduced in earlier work of the author. They are always finite even if the total variation of f is infinite, and they may be viewed as a generalisation of the Hahn-Jordan decomposition for...
On absolutely kth continuous functions
A. Das, B. Lahiri (1980)
Fundamenta Mathematicae
On characterization of the Lipschitzian composition operator between spaces of functions of bounded -variation
Nelson Merentes, Sergio Rivas (1995)
Czechoslovak Mathematical Journal
On differentiability of Peano type functions
M. Morayne (1984)
Colloquium Mathematicae
On differentiability of Peano type functions
Michał Morayne (1987)
Colloquium Mathematicae
On differentiability of Peano type functions. II
Michał Morayne (1987)
Colloquium Mathematicae
On embedding of the class .
Leindler, László (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
On essential -variation.
Ewert, Janina, Ponomarev, S.P. (2006)
Sibirskij Matematicheskij Zhurnal
On functions of bounded n-th variation
S. Mukhopadhyay, D. Sain (1988)
Fundamenta Mathematicae
On functions of bounded (p,2)-variation.
Nelson Merentes (1992)
Collectanea Mathematica
On generalized variations (II)
R. Leśniewicz, W. Orlicz (1973)
Studia Mathematica
On Kurzweil-Stieltjes equiintegrability and generalized BV functions
Giselle A. Monteiro (2019)
Mathematica Bohemica
We present sufficient conditions ensuring Kurzweil-Stieltjes equiintegrability in the case when integrators belong to the class of functions of generalized bounded variation.
On Some Properties of Functions of Generalized Variation.
L. Maligranda, W. Orlicz (1987)
Monatshefte für Mathematik
On the Absolute Continuity of a Surface Representation
Hans Martin Reimann (1971)
Commentarii mathematici Helvetici
On the absolute convergence of small gaps Fourier series of functions of .
Vyas, R.G. (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
On the embedding Waterman, Chanturia and generalized Wiener classes in the classes .
Goginava, U. (2003)
Georgian Mathematical Journal
On the extension and generation of set-valued mappings of bounded variation
V. V. Chistyakov, A. Rychlewicz (2002)
Studia Mathematica
We study set-valued mappings of bounded variation of one real variable. First we prove the existence of an extension of a metric space valued mapping from a subset of the reals to the whole set of reals with preservation of properties of the initial mapping: total variation, Lipschitz constant or absolute continuity. Then we show that a set-valued mapping of bounded variation defined on an arbitrary subset of the reals admits a regular selection of bounded variation. We introduce a notion of generated...
On the failure of a decomposition
D. W. Solomon (1971)
Colloquium Mathematicae
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