Results 251 to 260 of about 167,639,266 (299)

Functions of Bounded Variation

2000
Abstract This chapter is entirely devoted to functions of bounded variation and sets of finite perimeter. We have collected several results scattered in the literature, from classical ones up to recent developments, trying to give a self-contained and unified treatment of this topic.
Luigi Ambrosio, Nicola Fusco, Diego Pallara   +2 more
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ON FUNCTIONS OF BOUNDED $ p$-VARIATION

Mathematics of the USSR-Izvestiya, 1968
In this article we obtain an asymptotic formula for the approximations to functions in the class (, ) by Fourier sums in the metric of (). We find sufficient conditions and also criteria for the continuity of the derivative of a function in the class . We also give some results on the Fourier coefficients of functions in the above class.
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Functions of Bounded Variation

2015
We know that if f is integrable, then the lower and upper sums of every partition F approximate its integral from below and above, and so the difference between either sum and the integral is at most \(S_{F} - s_{F} =\varOmega _{F}\), the oscillatory sum corresponding to F.
Miklós Laczkovich, Vera T. Sós
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ITERATED FUNCTION SYSTEMS ON FUNCTIONS OF BOUNDED VARIATION

Fractals, 2016
We show that under certain hypotheses, an iterated function system on mappings (IFSM) is a contraction on the complete space of functions of bounded variation (BV). It then possesses a unique attractor of BV. Some BV-based inverse problems based on the Collage Theorem for contraction maps are considered.
D. La Torre, F. Mendivil, E. R. Vrscay
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Composing Functions of Bounded ϕ-Variation

Proceedings of the American Mathematical Society, 1986
Functions of bounded \(\phi\)-variation appeared first in a paper of \textit{N. Wiener} [Massachusetts J. Math. 3, 72-94 (1924)]. Afterwards it was studied by others leading to generalizations and different perspectives. A \(\phi\)-function what is understood as far as this paper is concerned is a continuous, unbounded, non-decreasing function on \([0,\
Ciemnoczołowski, J., Orlicz, W.
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Fit regions and functions of bounded variation

Archive for Rational Mechanics and Analysis, 1988
The concept of body and subbodies is fundamental in mechanics. Fit regions are those sets in an Euclidean space which can be occupied by continuous bodies and their subbodies. General considerations show among other things that the union of two subbodies should be a subbody and that a subbody should have a boundary and a well defined normal vector ...
W. NOLL, VIRGA, EPIFANIO GUIDO GIOVANNI
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Minimizing Functions with Bounded Variation of Subgradients [PDF]

, 2006
In many applications it is possible to justify a reasonable bound for possible variation of subgradients of objective function rather than for their uniform magnitude. In this paper we develop a new class of efficient primal-dual subgradient schemes for such problem classes.
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Nonconservative Products in Bounded Variation Functions

SIAM Journal on Mathematical Analysis, 1992
Summary: There exist two definitions of products of a bounded variation function by a derivative of another bounded variation function. One of them follows from a concept of generalized functions in which arbitrary products of distributions make sense: one has only one product but its understanding involves a nonclassical concept contained in each ...
Colombeau, Jean François, Heibig, Arnaud   +1 more
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Functions of Bounded Variation

1989
A function of bounded variation of one variable can be characterized as an integrable function whose derivative in the sense of distributions is a signed measure with finite total variation. This chapter is directed to the multivariate analog of these functions, namely the class of L1functions whose partial derivatives are measures in the sense of ...
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FUNCTIONS OF BOUNDED GENERALIZED SECOND VARIATION

Mathematics of the USSR-Sbornik, 1980
This paper introduces the classes and of functions of variables. These classes, for , are more general than the class of functions of bounded second variation introduced by F.I. Harsiladze, and in the case they contain the classes of functions of bounded generalized variation introduced by B.I. Golubov.
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