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Functions of bounded variation
, 2006 The paper begins with a short survey of monotone functions. The functions of bounded variation are introduced and some basic properties of these functions are given. Finally the jump function of a function of bounded variation is defined.
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Compactness of Special Functions of Bounded Higher Variation
Analysis and Geometry in Metric Spaces, 2013 Ambrosio Luigi, Ghiraldin Francesco
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Bounded variation and differentiability of functions
Collectanea Mathematica, 1975 openaire +2 more sources
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Homeomorphisms of Bounded Variation
Archive for Rational Mechanics and Analysis, 2007The main result of the paper is that if \(\Omega, \Omega' \subset \mathbb R^2\) are open and \(f:\Omega \to \Omega'\) is a homeomorphism, then \(f\in BV_{loc}(\Omega,\mathbb R^2)\) if and only if \(f^{-1}\in BV_{loc}(\Omega',\mathbb R^2)\). It is shown that this result does not extend to the case of \(\mathbb R^n\) with \(n\geq 3\).
Stanislav Hencl, Pekka Koskela
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Functions of Bounded Variation�and Rearrangements
Archive for Rational Mechanics and Analysis, 2002The authors study the properties of the symmetric rearrangement \(u^*\) of a function \(u\) when \(u\) is of bounded variation in \({\mathbb R}^n\). Among these properties, the continuity and the approximate differentiability of \(u^*\) on the level sets \(\{u^*=t\}\) is investigated.
Nicola Fusco +2 more
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Are Natural Images of Bounded Variation?
SIAM Journal on Mathematical Analysis, 2001Summary: The bounded variation assumption is the starting point of many methods in image analysis and processing. However, one common drawback of these methods is their inability to handle textures and small structures properly. Here we precisely show why natural images are incompletely represented by BV functions.
Jean-Michel Morel, Yann Gousseau
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A generalization of bounded variation
Acta Mathematica Hungarica, 1990The notion of bounded \(p\)-variation was introduced by \textit{N. Wiener} in 1924 [see Mass. J. Math. 3, 72--94 (1924; JFM 50.0203.01)]. \textit{D. Waterman} [Stud. Math. 44, 107--117 (1972; Zbl 0207.06901)] and \textit{Z. A. Chanturiya} [Dokl. Akad. Nauk SSSR 214, 63--66 (1974; Zbl 0295.26008)] have made important contributions concerning the concept
Yoneda K
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Variational bounds for the triton
Physical Review C, 1987Variational bounds for the Reid soft core and Argonne V/sub 14/ potentials are extended through the J = 8 partial waves of those nucleon-nucleon forces using Faddeev wave functions calculated with the Jless than or equal to4 partial waves. We verify our previous conjecture that the additional components add roughly 10 keV to the binding energy, and ...
, Friar, , Gibson, , Payne
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Functions of bounded variation and polarization
Mathematische Nachrichten, 2009AbstractIt is known that, ifuis a real valued function on ℝNof bounded variation, then its total variation decreases under polarization. In this paper we identify the difference between the total variation ofuand that one of its polaruΠ(© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
ALBERICO A, FERONE, Adele, VOLPICELLI R.
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